400554400 has 36 divisors (see below), whose sum is σ = 977855382. Its totient is φ = 160221440.

The previous prime is 400554397. The next prime is 400554403. The reversal of 400554400 is 4455004.

It is an interprime number because it is at equal distance from previous prime (400554397) and next prime (400554403).

It can be written as a sum of positive squares in 3 ways, for example, as 362064784 + 38489616 = 19028^2 + 6204^2 .

It is not an unprimeable number, because it can be changed into a prime (400554403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249547 + ... + 251146.

Almost surely, 2^400554400 is an apocalyptic number.

400554400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400554400 is an abundant number, since it is smaller than the sum of its proper divisors (577300982).

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

400554400 is a wasteful number, since it uses less digits than its factorization.

400554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500713 (or 500700 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 400554400 is about 20013.8552008352. The cubic root of 400554400 is about 737.1465470927.

The spelling of 400554400 in words is "four hundred million, five hundred fifty-four thousand, four hundred".