472100640 has 96 divisors (see below), whose sum is σ = 1622327616. Its totient is φ = 114447360.

The previous prime is 472100611. The next prime is 472100647. The reversal of 472100640 is 46001274.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 472100640.

It is not an unprimeable number, because it can be changed into a prime (472100647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39427 + ... + 49986.

It is an arithmetic number, because the mean of its divisors is an integer number (16899246).

Almost surely, 2^472100640 is an apocalyptic number.

472100640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472100640 is an abundant number, since it is smaller than the sum of its proper divisors (1150226976).

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

472100640 is a wasteful number, since it uses less digits than its factorization.

472100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89442 (or 89434 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 472100640 is about 21727.8770246888. The cubic root of 472100640 is about 778.6546169764.

The spelling of 472100640 in words is "four hundred seventy-two million, one hundred thousand, six hundred forty".