472090096800 has 1944 divisors, whose sum is σ = 2151631224288. Its totient is φ = 98929382400.

The previous prime is 472090096787. The next prime is 472090096813. The reversal of 472090096800 is 8690090274.

It is a happy number.

472090096800 is a `hidden beast` number, since 472 + 0 + 90 + 0 + 96 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (472090096787) and next prime (472090096813).

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 15228712785 + ... + 15228712815.

Almost surely, 2^472090096800 is an apocalyptic number.

472090096800 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 472090096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075815612144).

472090096800 is an abundant number, since it is smaller than the sum of its proper divisors (1679541127488).

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

472090096800 is a wasteful number, since it uses less digits than its factorization.

472090096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 472090096800 in words is "four hundred seventy-two billion, ninety million, ninety-six thousand, eight hundred".