400827504 has 120 divisors (see below), whose sum is σ = 1300888960. Its totient is φ = 104100480.

The previous prime is 400827481. The next prime is 400827527. The reversal of 400827504 is 405728004.

It is an interprime number because it is at equal distance from previous prime (400827481) and next prime (400827527).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35727 + ... + 45585.

Almost surely, 2^400827504 is an apocalyptic number.

400827504 is a gapful number since it is divisible by the number (44) 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 400827504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650444480).

400827504 is an abundant number, since it is smaller than the sum of its proper divisors (900061456).

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

400827504 is a wasteful number, since it uses less digits than its factorization.

400827504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9899 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 400827504 is about 20020.6769116331. The cubic root of 400827504 is about 737.3140415571.

It can be divided in two parts, 40082 and 7504, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 400827504 in words is "four hundred million, eight hundred twenty-seven thousand, five hundred four".