474913152 has 256 divisors, whose sum is σ = 1631347200. Its totient is φ = 133208064.

The previous prime is 474913141. The next prime is 474913157. The reversal of 474913152 is 251319474.

474913152 is a `hidden beast` number, since 474 + 9 + 131 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474913157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620718 + ... + 1621010.

It is an arithmetic number, because the mean of its divisors is an integer number (6372450).

Almost surely, 2^474913152 is an apocalyptic number.

474913152 is a gapful number since it is divisible by the number (42) 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 474913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815673600).

474913152 is an abundant number, since it is smaller than the sum of its proper divisors (1156434048).

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

474913152 is a wasteful number, since it uses less digits than its factorization.

474913152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 474913152 is about 21792.5021968566. The cubic root of 474913152 is about 780.1978196482.

The spelling of 474913152 in words is "four hundred seventy-four million, nine hundred thirteen thousand, one hundred fifty-two".