400759020 has 288 divisors, whose sum is σ = 1389286080. Its totient is φ = 92897280.

The previous prime is 400758973. The next prime is 400759057. The reversal of 400759020 is 20957004.

It is a super-2 number, since 2×400759020² = 321215584222720800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3546484 + ... + 3546596.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^400759020 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 400759020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

400759020 is an abundant number, since it is smaller than the sum of its proper divisors (988527060).

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

400759020 is a wasteful number, since it uses less digits than its factorization.

400759020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 400759020 is about 20018.9665067905. The cubic root of 400759020 is about 737.2720475236.

The spelling of 400759020 in words is "four hundred million, seven hundred fifty-nine thousand, twenty".