401057280 has 360 divisors, whose sum is σ = 1518639408. Its totient is φ = 97763328.

The previous prime is 401057273. The next prime is 401057291. The reversal of 401057280 is 82750104.

401057280 is a `hidden beast` number, since 4 + 0 + 10 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893709 + ... + 3893811.

Almost surely, 2^401057280 is an apocalyptic number.

401057280 is a gapful number since it is divisible by the number (40) 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 401057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759319704).

401057280 is an abundant number, since it is smaller than the sum of its proper divisors (1117582128).

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

401057280 is a wasteful number, since it uses less digits than its factorization.

401057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 401057280 is about 20026.4145567798. The cubic root of 401057280 is about 737.4549040701.

The spelling of 401057280 in words is "four hundred one million, fifty-seven thousand, two hundred eighty".