400701216 has 96 divisors (see below), whose sum is σ = 1104969600. Its totient is φ = 126900224.

The previous prime is 400701211. The next prime is 400701227. The reversal of 400701216 is 612107004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×400701216² = 321122929007757312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400701192 and 400701201.

It is not an unprimeable number, because it can be changed into a prime (400701211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381460 + ... + 382508.

It is an arithmetic number, because the mean of its divisors is an integer number (11510100).

Almost surely, 2^400701216 is an apocalyptic number.

400701216 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 400701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

400701216 is an abundant number, since it is smaller than the sum of its proper divisors (704268384).

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

400701216 is a wasteful number, since it uses less digits than its factorization.

400701216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 400701216 is about 20017.5227238537. The cubic root of 400701216 is about 737.2365986874.

The spelling of 400701216 in words is "four hundred million, seven hundred one thousand, two hundred sixteen".