400880484 has 81 divisors (see below), whose sum is σ = 1050143731. Its totient is φ = 128941680.

The previous prime is 400880479. The next prime is 400880489. The reversal of 400880484 is 484088004.

The square root of 400880484 is 20022.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (400880479) and next prime (400880489).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400880489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5646169 + ... + 5646239.

Almost surely, 2^400880484 is an apocalyptic number.

400880484 is the 20022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400880484

400880484 is an abundant number, since it is smaller than the sum of its proper divisors (649263247).

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

400880484 is a wasteful number, since it uses less digits than its factorization.

400880484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The cubic root of 400880484 is about 737.3465253368.

Multiplying 400880484 by its sum of digits (36), we get a square (14431697424 = 120132²).

400880484 divided by its sum of digits (36) gives a square (11135569 = 3337²).

The spelling of 400880484 in words is "four hundred million, eight hundred eighty thousand, four hundred eighty-four".