420470157600 has 720 divisors, whose sum is σ = 1630537013952. Its totient is φ = 105206999040.

The previous prime is 420470157599. The next prime is 420470157703. The reversal of 420470157600 is 6751074024.

420470157600 is a `hidden beast` number, since 4 + 2 + 0 + 47 + 0 + 1 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 119 ways as a sum of consecutive naturals, for example, 78988539 + ... + 78993861.

Almost surely, 2^420470157600 is an apocalyptic number.

420470157600 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 420470157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815268506976).

420470157600 is an abundant number, since it is smaller than the sum of its proper divisors (1210066856352).

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

420470157600 is a wasteful number, since it uses less digits than its factorization.

420470157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 420470157600 in words is "four hundred twenty billion, four hundred seventy million, one hundred fifty-seven thousand, six hundred".