470073542400 has 2160 divisors, whose sum is σ = 2214982398720. Its totient is φ = 96729292800.

The previous prime is 470073542387. The next prime is 470073542417. The reversal of 470073542400 is 4245370074.

470073542400 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 73 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 4563820749 + ... + 4563820851.

Almost surely, 2^470073542400 is an apocalyptic number.

470073542400 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 470073542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107491199360).

470073542400 is an abundant number, since it is smaller than the sum of its proper divisors (1744908856320).

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

470073542400 is a wasteful number, since it uses less digits than its factorization.

470073542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 470073542400 in words is "four hundred seventy billion, seventy-three million, five hundred forty-two thousand, four hundred".