400720600 has 192 divisors, whose sum is σ = 1145016000. Its totient is φ = 127303680.

The previous prime is 400720589. The next prime is 400720657. The reversal of 400720600 is 6027004.

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, 2689326 + ... + 2689474.

It is an arithmetic number, because the mean of its divisors is an integer number (5963625).

Almost surely, 2^400720600 is an apocalyptic number.

400720600 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 400720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572508000).

400720600 is an abundant number, since it is smaller than the sum of its proper divisors (744295400).

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

400720600 is a wasteful number, since it uses less digits than its factorization.

400720600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 400720600 is about 20018.0068937944. The cubic root of 400720600 is about 737.2484864841.

Adding to 400720600 its reverse (6027004), we get a palindrome (406747604).

The spelling of 400720600 in words is "four hundred million, seven hundred twenty thousand, six hundred".