400764480 has 112 divisors (see below), whose sum is σ = 1281013440. Its totient is φ = 106149888.

The previous prime is 400764461. The next prime is 400764487. The reversal of 400764480 is 84467004.

It is a super-2 number, since 2×400764480² = 321224336859340800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400764487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149391 + ... + 152049.

It is an arithmetic number, because the mean of its divisors is an integer number (11437620).

Almost surely, 2^400764480 is an apocalyptic number.

400764480 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 400764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640506720).

400764480 is an abundant number, since it is smaller than the sum of its proper divisors (880248960).

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

400764480 is a wasteful number, since it uses less digits than its factorization.

400764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 400764480 is about 20019.1028770023. The cubic root of 400764480 is about 737.2753957428.

The spelling of 400764480 in words is "four hundred million, seven hundred sixty-four thousand, four hundred eighty".