401454216 has 96 divisors (see below), whose sum is σ = 1131736320. Its totient is φ = 128419200.

The previous prime is 401454197. The next prime is 401454217. The reversal of 401454216 is 612454104.

401454216 is a `hidden beast` number, since 401 + 45 + 4 + 216 = 666.

It is a super-2 number, since 2×401454216² = 322330975088349312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401454216.

It is not an unprimeable number, because it can be changed into a prime (401454217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291706 + ... + 293078.

It is an arithmetic number, because the mean of its divisors is an integer number (11788920).

Almost surely, 2^401454216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401454216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565868160).

401454216 is an abundant number, since it is smaller than the sum of its proper divisors (730282104).

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

401454216 is a wasteful number, since it uses less digits than its factorization.

401454216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 401454216 is about 20036.3224170505. The cubic root of 401454216 is about 737.6981161132.

The spelling of 401454216 in words is "four hundred one million, four hundred fifty-four thousand, two hundred sixteen".