401263104 has 240 divisors, whose sum is σ = 1253919744. Its totient is φ = 113541120.

The previous prime is 401263073. The next prime is 401263141. The reversal of 401263104 is 401362104.

It is a super-2 number, since 2×401263104² = 322024157263429632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3159489 + ... + 3159615.

Almost surely, 2^401263104 is an apocalyptic number.

401263104 is a gapful number since it is divisible by the number (44) 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 401263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

401263104 is an abundant number, since it is smaller than the sum of its proper divisors (852656640).

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

401263104 is a wasteful number, since it uses less digits than its factorization.

401263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 401263104 is about 20031.5527106612. The cubic root of 401263104 is about 737.5810373080.

The spelling of 401263104 in words is "four hundred one million, two hundred sixty-three thousand, one hundred four".