401252940 has 360 divisors, whose sum is σ = 1459956960. Its totient is φ = 91998720.

The previous prime is 401252939. The next prime is 401252947. The reversal of 401252940 is 49252104.

401252940 is a `hidden beast` number, since 401 + 252 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×401252940² = 322007843717287200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401252947) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4508416 + ... + 4508504.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^401252940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401252940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729978480).

401252940 is an abundant number, since it is smaller than the sum of its proper divisors (1058704020).

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

401252940 is a wasteful number, since it uses less digits than its factorization.

401252940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401252940 is about 20031.2990093004. The cubic root of 401252940 is about 737.5748096094.

The spelling of 401252940 in words is "four hundred one million, two hundred fifty-two thousand, nine hundred forty".