474052993920 has 384 divisors, whose sum is σ = 1791669559680. Its totient is φ = 114542899200.

The previous prime is 474052993903. The next prime is 474052993937. The reversal of 474052993920 is 29399250474.

474052993920 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 529 + 93 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (474052993903) and next prime (474052993937).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19439335 + ... + 19463705.

It is an arithmetic number, because the mean of its divisors is an integer number (4665806145).

Almost surely, 2^474052993920 is an apocalyptic number.

474052993920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474052993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895834779840).

474052993920 is an abundant number, since it is smaller than the sum of its proper divisors (1317616565760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

474052993920 is a wasteful number, since it uses less digits than its factorization.

474052993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24714 (or 24699 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 4740 and 52993920, that added together give a triangular number (52998660 = T₁₀₂₉₅).

The spelling of 474052993920 in words is "four hundred seventy-four billion, fifty-two million, nine hundred ninety-three thousand, nine hundred twenty".