401506092 has 192 divisors, whose sum is σ = 1179763200. Its totient is φ = 117262080.

The previous prime is 401506069. The next prime is 401506097. The reversal of 401506092 is 290605104.

401506092 is a `hidden beast` number, since 4 + 0 + 1 + 50 + 609 + 2 = 666.

It is a super-2 number, since 2×401506092² = 322414283826224928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401506097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3064867 + ... + 3064997.

It is an arithmetic number, because the mean of its divisors is an integer number (6144600).

Almost surely, 2^401506092 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 401506092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589881600).

401506092 is an abundant number, since it is smaller than the sum of its proper divisors (778257108).

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

401506092 is a wasteful number, since it uses less digits than its factorization.

401506092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 401506092 is about 20037.6169241754. The cubic root of 401506092 is about 737.7298899143.

The spelling of 401506092 in words is "four hundred one million, five hundred six thousand, ninety-two".