420251160 has 64 divisors (see below), whose sum is σ = 1440864000. Its totient is φ = 96057216.

The previous prime is 420251141. The next prime is 420251173. The reversal of 420251160 is 61152024.

It is a super-2 number, since 2×420251160² = 353222074962691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249310 + ... + 250989.

It is an arithmetic number, because the mean of its divisors is an integer number (22513500).

Almost surely, 2^420251160 is an apocalyptic number.

420251160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420251160 is an abundant number, since it is smaller than the sum of its proper divisors (1020612840).

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

420251160 is a wasteful number, since it uses less digits than its factorization.

420251160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500320 (or 500316 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 420251160 is about 20500.0282926634. The cubic root of 420251160 is about 749.0364871652.

The spelling of 420251160 in words is "four hundred twenty million, two hundred fifty-one thousand, one hundred sixty".