420275592 has 144 divisors (see below), whose sum is σ = 1317498000. Its totient is φ = 120605760.

The previous prime is 420275539. The next prime is 420275617. The reversal of 420275592 is 295572024.

It is a happy number.

420275592 is a `hidden beast` number, since 42 + 0 + 27 + 5 + 592 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164259 + ... + 166797.

Almost surely, 2^420275592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420275592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658749000).

420275592 is an abundant number, since it is smaller than the sum of its proper divisors (897222408).

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

420275592 is a wasteful number, since it uses less digits than its factorization.

420275592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 420275592 is about 20500.6241856193. The cubic root of 420275592 is about 749.0510023778.

The spelling of 420275592 in words is "four hundred twenty million, two hundred seventy-five thousand, five hundred ninety-two".