400354000 has 40 divisors (see below), whose sum is σ = 968060808. Its totient is φ = 160140800.

The previous prime is 400353979. The next prime is 400354007. The reversal of 400354000 is 453004.

It can be written as a sum of positive squares in 4 ways, for example, as 82373776 + 317980224 = 9076^2 + 17832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400354007) 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 7 ways as a sum of consecutive naturals, for example, 98089 + ... + 102088.

Almost surely, 2^400354000 is an apocalyptic number.

400354000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400354000 is an abundant number, since it is smaller than the sum of its proper divisors (567706808).

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

400354000 is a wasteful number, since it uses less digits than its factorization.

400354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200200 (or 200184 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 400354000 is about 20008.8480428035. The cubic root of 400354000 is about 737.0235934974.

The spelling of 400354000 in words is "four hundred million, three hundred fifty-four thousand".