401145408 has 42 divisors (see below), whose sum is σ = 1149812534. Its totient is φ = 133714944.

The previous prime is 401145401. The next prime is 401145419. The reversal of 401145408 is 804541104.

It is a happy number.

401145408 is a `hidden beast` number, since 4 + 0 + 114 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361304064 + 39841344 = 19008^2 + 6312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401145401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347641 + ... + 348792.

Almost surely, 2^401145408 is an apocalyptic number.

401145408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401145408 is an abundant number, since it is smaller than the sum of its proper divisors (748667126).

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

401145408 is a wasteful number, since it uses less digits than its factorization.

401145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696451 (or 696438 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 401145408 is about 20028.6147299308. The cubic root of 401145408 is about 737.5089160274.

The spelling of 401145408 in words is "four hundred one million, one hundred forty-five thousand, four hundred eight".