400977216 has 336 divisors, whose sum is σ = 1331366400. Its totient is φ = 119066112.

The previous prime is 400977191. The next prime is 400977263. The reversal of 400977216 is 612779004.

It is a happy number.

It is a super-2 number, since 2×400977216² = 321565455502221312, which contains 22 as substring.

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

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, 6796195 + ... + 6796253.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2^400977216 is an apocalyptic number.

400977216 is a gapful number since it is divisible by the number (46) 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 400977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

400977216 is an abundant number, since it is smaller than the sum of its proper divisors (930389184).

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

400977216 is a wasteful number, since it uses less digits than its factorization.

400977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 400977216 is about 20024.4154970875. The cubic root of 400977216 is about 737.4058275235.

It can be divided in two parts, 4009 and 77216, that added together give a square (81225 = 285²).

The spelling of 400977216 in words is "four hundred million, nine hundred seventy-seven thousand, two hundred sixteen".