400464000 has 384 divisors, whose sum is σ = 1505911680. Its totient is φ = 105753600.

The previous prime is 400463989. The next prime is 400464023. The reversal of 400464000 is 464004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887949 + ... + 3888051.

It is an arithmetic number, because the mean of its divisors is an integer number (3921645).

Almost surely, 2^400464000 is an apocalyptic number.

400464000 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 400464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752955840).

400464000 is an abundant number, since it is smaller than the sum of its proper divisors (1105447680).

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

400464000 is an equidigital number, since it uses as much as digits as its factorization.

400464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400464000 is about 20011.5966379497. The cubic root of 400464000 is about 737.0910880742.

The spelling of 400464000 in words is "four hundred million, four hundred sixty-four thousand".