400923600 has 240 divisors, whose sum is σ = 1601564160. Its totient is φ = 83289600.

The previous prime is 400923599. The next prime is 400923613. The reversal of 400923600 is 6329004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×400923600³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 90231 + ... + 94569.

It is an arithmetic number, because the mean of its divisors is an integer number (6673184).

Almost surely, 2^400923600 is an apocalyptic number.

400923600 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 400923600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800782080).

400923600 is an abundant number, since it is smaller than the sum of its proper divisors (1200640560).

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

400923600 is a wasteful number, since it uses less digits than its factorization.

400923600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 400923600 is about 20023.0766866633. The cubic root of 400923600 is about 737.3729590615.

The spelling of 400923600 in words is "four hundred million, nine hundred twenty-three thousand, six hundred".