400253420 has 48 divisors (see below), whose sum is σ = 986583360. Its totient is φ = 133519104.

The previous prime is 400253407. The next prime is 400253461. The reversal of 400253420 is 24352004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400253392 and 400253401.

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, 33455 + ... + 43814.

It is an arithmetic number, because the mean of its divisors is an integer number (20553820).

Almost surely, 2^400253420 is an apocalyptic number.

It is an amenable number.

400253420 is an abundant number, since it is smaller than the sum of its proper divisors (586329940).

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

400253420 is a wasteful number, since it uses less digits than its factorization.

400253420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77322 (or 77320 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 400253420 is about 20006.3344968537. The cubic root of 400253420 is about 736.9618680897.

The spelling of 400253420 in words is "four hundred million, two hundred fifty-three thousand, four hundred twenty".