401461320 has 256 divisors, whose sum is σ = 1381847040. Its totient is φ = 92556288.

The previous prime is 401461309. The next prime is 401461321. The reversal of 401461320 is 23164104.

It is a super-2 number, since 2×401461320² = 322342382912284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401461321) 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, 2403877 + ... + 2404043.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^401461320 is an apocalyptic number.

401461320 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 401461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

401461320 is an abundant number, since it is smaller than the sum of its proper divisors (980385720).

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

401461320 is a wasteful number, since it uses less digits than its factorization.

401461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

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

The square root of 401461320 is about 20036.4996943079. The cubic root of 401461320 is about 737.7024674409.

The spelling of 401461320 in words is "four hundred one million, four hundred sixty-one thousand, three hundred twenty".