472060800 has 288 divisors, whose sum is σ = 1733851080. Its totient is φ = 122204160.

The previous prime is 472060793. The next prime is 472060807. The reversal of 472060800 is 8060274.

It is an interprime number because it is at equal distance from previous prime (472060793) and next prime (472060807).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472060807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1065379 + ... + 1065821.

Almost surely, 2^472060800 is an apocalyptic number.

472060800 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 472060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866925540).

472060800 is an abundant number, since it is smaller than the sum of its proper divisors (1261790280).

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

472060800 is a wasteful number, since it uses less digits than its factorization.

472060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472060800 is about 21726.9602107612. The cubic root of 472060800 is about 778.6327131209.

The spelling of 472060800 in words is "four hundred seventy-two million, sixty thousand, eight hundred".