474247872000 has 1200 divisors, whose sum is σ = 2056067318448. Its totient is φ = 108341452800.

The previous prime is 474247871987. The next prime is 474247872001. The reversal of 474247872000 is 278742474.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×474247872000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474247872001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254015067 + ... + 254016933.

Almost surely, 2^474247872000 is an apocalyptic number.

474247872000 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 474247872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028033659224).

474247872000 is an abundant number, since it is smaller than the sum of its proper divisors (1581819446448).

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

474247872000 is an equidigital number, since it uses as much as digits as its factorization.

474247872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 474247872000 in words is "four hundred seventy-four billion, two hundred forty-seven million, eight hundred seventy-two thousand".