420152724 has 96 divisors (see below), whose sum is σ = 1114848000. Its totient is φ = 136805760.

The previous prime is 420152717. The next prime is 420152729. The reversal of 420152724 is 427251024.

It is a super-2 number, since 2×420152724² = 353056622969240352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420152729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203702 + ... + 1204050.

It is an arithmetic number, because the mean of its divisors is an integer number (11613000).

Almost surely, 2^420152724 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 420152724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557424000).

420152724 is an abundant number, since it is smaller than the sum of its proper divisors (694695276).

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

420152724 is a wasteful number, since it uses less digits than its factorization.

420152724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 420152724 is about 20497.6272773216. The cubic root of 420152724 is about 748.9779999872.

The spelling of 420152724 in words is "four hundred twenty million, one hundred fifty-two thousand, seven hundred twenty-four".