472404600 has 216 divisors, whose sum is σ = 1676689560. Its totient is φ = 119180160.

The previous prime is 472404599. The next prime is 472404617. The reversal of 472404600 is 6404274.

It is a super-2 number, since 2×472404600² = 446332212202320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 649437 + ... + 650163.

Almost surely, 2^472404600 is an apocalyptic number.

472404600 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 472404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838344780).

472404600 is an abundant number, since it is smaller than the sum of its proper divisors (1204284960).

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

472404600 is a wasteful number, since it uses less digits than its factorization.

472404600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 472404600 is about 21734.8706000289. The cubic root of 472404600 is about 778.8216922851.

Adding to 472404600 its reverse (6404274), we get a palindrome (478808874).

The spelling of 472404600 in words is "four hundred seventy-two million, four hundred four thousand, six hundred".