400876040 has 32 divisors (see below), whose sum is σ = 902643480. Its totient is φ = 160230912.

The previous prime is 400876037. The next prime is 400876043. The reversal of 400876040 is 40678004.

It is an interprime number because it is at equal distance from previous prime (400876037) and next prime (400876043).

It can be written as a sum of positive squares in 4 ways, for example, as 222546724 + 178329316 = 14918^2 + 13354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400875994 and 400876012.

It is not an unprimeable number, because it can be changed into a prime (400876043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67262 + ... + 72978.

Almost surely, 2^400876040 is an apocalyptic number.

400876040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400876040 is an abundant number, since it is smaller than the sum of its proper divisors (501767440).

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

400876040 is a wasteful number, since it uses less digits than its factorization.

400876040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 400876040 is about 20021.8890217682. The cubic root of 400876040 is about 737.3438006842.

The spelling of 400876040 in words is "four hundred million, eight hundred seventy-six thousand, forty".