400864800 has 288 divisors, whose sum is σ = 1511903232. Its totient is φ = 90362880.

The previous prime is 400864799. The next prime is 400864801. The reversal of 400864800 is 8468004.

It is an interprime number because it is at equal distance from previous prime (400864799) and next prime (400864801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (400864801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797489 + ... + 1797711.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^400864800 is an apocalyptic number.

400864800 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 400864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755951616).

400864800 is an abundant number, since it is smaller than the sum of its proper divisors (1111038432).

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

400864800 is a wasteful number, since it uses less digits than its factorization.

400864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 400864800 is about 20021.6083270051. The cubic root of 400864800 is about 737.3369092590.

The spelling of 400864800 in words is "four hundred million, eight hundred sixty-four thousand, eight hundred".