400464405 has 40 divisors (see below), whose sum is σ = 783139104. Its totient is φ = 194162400.

The previous prime is 400464397. The next prime is 400464413. The reversal of 400464405 is 504464004.

It is an interprime number because it is at equal distance from previous prime (400464397) and next prime (400464413).

It is not a de Polignac number, because 400464405 - 2³ = 400464397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 40491 + ... + 49400.

Almost surely, 2^400464405 is an apocalyptic number.

400464405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400464405 is a deficient number, since it is larger than the sum of its proper divisors (382674699).

400464405 is a wasteful number, since it uses less digits than its factorization.

400464405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89919 (or 89910 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 400464405 is about 20011.6067570798. The cubic root of 400464405 is about 737.0913365541.

The spelling of 400464405 in words is "four hundred million, four hundred sixty-four thousand, four hundred five".