400073600 has 192 divisors, whose sum is σ = 1057372800. Its totient is φ = 149299200.

The previous prime is 400073587. The next prime is 400073623. The reversal of 400073600 is 6370004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670346 + ... + 3670454.

It is an arithmetic number, because the mean of its divisors is an integer number (5507150).

Almost surely, 2^400073600 is an apocalyptic number.

400073600 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 400073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528686400).

400073600 is an abundant number, since it is smaller than the sum of its proper divisors (657299200).

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

400073600 is a wasteful number, since it uses less digits than its factorization.

400073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 400073600 is about 20001.8399153678. The cubic root of 400073600 is about 736.8514877430.

The spelling of 400073600 in words is "four hundred million, seventy-three thousand, six hundred".