400973760 has 224 divisors, whose sum is σ = 1543507200. Its totient is φ = 97182720.

The previous prime is 400973719. The next prime is 400973767. The reversal of 400973760 is 67379004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400973767) 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 31 ways as a sum of consecutive naturals, for example, 92931 + ... + 97149.

Almost surely, 2^400973760 is an apocalyptic number.

400973760 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 400973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771753600).

400973760 is an abundant number, since it is smaller than the sum of its proper divisors (1142533440).

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

400973760 is a wasteful number, since it uses less digits than its factorization.

400973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 400973760 is about 20024.3292022479. The cubic root of 400973760 is about 737.4037089644.

The spelling of 400973760 in words is "four hundred million, nine hundred seventy-three thousand, seven hundred sixty".