400464240 has 160 divisors (see below), whose sum is σ = 1434122496. Its totient is φ = 91361280.

The previous prime is 400464227. The next prime is 400464241. The reversal of 400464240 is 42464004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400464240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400464241) 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 31 ways as a sum of consecutive naturals, for example, 40419 + ... + 49341.

Almost surely, 2^400464240 is an apocalyptic number.

400464240 is a gapful number since it is divisible by the number (40) 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 400464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717061248).

400464240 is an abundant number, since it is smaller than the sum of its proper divisors (1033658256).

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

400464240 is a wasteful number, since it uses less digits than its factorization.

400464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8967 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 400464240 is about 20011.6026344718. The cubic root of 400464240 is about 737.0912353216.

The spelling of 400464240 in words is "four hundred million, four hundred sixty-four thousand, two hundred forty".