474300792 has 192 divisors, whose sum is σ = 1571421600. Its totient is φ = 132088320.

The previous prime is 474300791. The next prime is 474300797. The reversal of 474300792 is 297003474.

It is a super-2 number, since 2×474300792² = 449922482583654528, which contains 22 as substring.

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 (474300791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433398 + ... + 434490.

Almost surely, 2^474300792 is an apocalyptic number.

474300792 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 474300792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785710800).

474300792 is an abundant number, since it is smaller than the sum of its proper divisors (1097120808).

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

474300792 is a wasteful number, since it uses less digits than its factorization.

474300792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 474300792 is about 21778.4478785794. The cubic root of 474300792 is about 779.8623425710.

The spelling of 474300792 in words is "four hundred seventy-four million, three hundred thousand, seven hundred ninety-two".