401290848 has 240 divisors, whose sum is σ = 1429221024. Its totient is φ = 107827200.

The previous prime is 401290817. The next prime is 401290853. The reversal of 401290848 is 848092104.

It is a super-2 number, since 2×401290848² = 322068689377118208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307798 + ... + 309098.

Almost surely, 2^401290848 is an apocalyptic number.

401290848 is a gapful number since it is divisible by the number (48) 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 401290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714610512).

401290848 is an abundant number, since it is smaller than the sum of its proper divisors (1027930176).

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

401290848 is a wasteful number, since it uses less digits than its factorization.

401290848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 401290848 is about 20032.2452061670. The cubic root of 401290848 is about 737.5980361104.

The spelling of 401290848 in words is "four hundred one million, two hundred ninety thousand, eight hundred forty-eight".