474949440 has 224 divisors, whose sum is σ = 1915119360. Its totient is φ = 108546048.

The previous prime is 474949439. The next prime is 474949457. The reversal of 474949440 is 44949474.

It is a happy number.

474949440 is a `hidden beast` number, since 474 + 94 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56554 + ... + 64406.

It is an arithmetic number, because the mean of its divisors is an integer number (8549640).

Almost surely, 2^474949440 is an apocalyptic number.

474949440 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 474949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957559680).

474949440 is an abundant number, since it is smaller than the sum of its proper divisors (1440169920).

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

474949440 is a wasteful number, since it uses less digits than its factorization.

474949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 474949440 is about 21793.3347608850. The cubic root of 474949440 is about 780.2176907182.

The spelling of 474949440 in words is "four hundred seventy-four million, nine hundred forty-nine thousand, four hundred forty".