400428720 has 120 divisors (see below), whose sum is σ = 1373501376. Its totient is φ = 104500224.

The previous prime is 400428719. The next prime is 400428731. The reversal of 400428720 is 27824004.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27924 + ... + 39756.

Almost surely, 2^400428720 is an apocalyptic number.

400428720 is a gapful number since it is divisible by the number (40) 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 400428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686750688).

400428720 is an abundant number, since it is smaller than the sum of its proper divisors (973072656).

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

400428720 is a wasteful number, since it uses less digits than its factorization.

400428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 400428720 is about 20010.7151296499. The cubic root of 400428720 is about 737.0694420692.

The spelling of 400428720 in words is "four hundred million, four hundred twenty-eight thousand, seven hundred twenty".