472540608 has 112 divisors (see below), whose sum is σ = 1399153920. Its totient is φ = 156384000.

The previous prime is 472540597. The next prime is 472540637. The reversal of 472540608 is 806045274.

472540608 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 40 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260023 + ... + 261833.

Almost surely, 2^472540608 is an apocalyptic number.

472540608 is a gapful number since it is divisible by the number (48) 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 472540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699576960).

472540608 is an abundant number, since it is smaller than the sum of its proper divisors (926613312).

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

472540608 is a wasteful number, since it uses less digits than its factorization.

472540608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 472540608 is about 21737.9991719569. Note that the first 3 decimals coincide. The cubic root of 472540608 is about 778.8964275274.

Adding to 472540608 its sum of digits (36), we get a square (472540644 = 21738²).

The spelling of 472540608 in words is "four hundred seventy-two million, five hundred forty thousand, six hundred eight".