400977760 has 48 divisors (see below), whose sum is σ = 952342272. Its totient is φ = 159539200.

The previous prime is 400977757. The next prime is 400977779. The reversal of 400977760 is 67779004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 24000 + ... + 37120.

It is an arithmetic number, because the mean of its divisors is an integer number (19840464).

Almost surely, 2^400977760 is an apocalyptic number.

400977760 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 400977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476171136).

400977760 is an abundant number, since it is smaller than the sum of its proper divisors (551364512).

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

400977760 is a wasteful number, since it uses less digits than its factorization.

400977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 400977760 is about 20024.4290805006. The cubic root of 400977760 is about 737.4061609993.

The spelling of 400977760 in words is "four hundred million, nine hundred seventy-seven thousand, seven hundred sixty".