400354500 has 288 divisors, whose sum is σ = 1463978880. Its totient is φ = 84268800.

The previous prime is 400354489. The next prime is 400354519. The reversal of 400354500 is 5453004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 955291 + ... + 955709.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2^400354500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

400354500 is an abundant number, since it is smaller than the sum of its proper divisors (1063624380).

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

400354500 is a wasteful number, since it uses less digits than its factorization.

400354500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 400354500 is about 20008.8605372720. The cubic root of 400354500 is about 737.0239003189.

The spelling of 400354500 in words is "four hundred million, three hundred fifty-four thousand, five hundred".