420592536 has 192 divisors, whose sum is σ = 1463454720. Its totient is φ = 106064640.

The previous prime is 420592511. The next prime is 420592561. The reversal of 420592536 is 635295024.

It is an interprime number because it is at equal distance from previous prime (420592511) and next prime (420592561).

It is a super-2 number, since 2×420592536² = 353796162677822592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420592536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149301 + ... + 152091.

It is an arithmetic number, because the mean of its divisors is an integer number (7622160).

Almost surely, 2^420592536 is an apocalyptic number.

420592536 is a gapful number since it is divisible by the number (46) 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 420592536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731727360).

420592536 is an abundant number, since it is smaller than the sum of its proper divisors (1042862184).

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

420592536 is a wasteful number, since it uses less digits than its factorization.

420592536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 420592536 is about 20508.3528348817. The cubic root of 420592536 is about 749.2392499400.

The spelling of 420592536 in words is "four hundred twenty million, five hundred ninety-two thousand, five hundred thirty-six".