401034960 has 120 divisors (see below), whose sum is σ = 1352116584. Its totient is φ = 106521600.

The previous prime is 401034937. The next prime is 401034961. The reversal of 401034960 is 69430104.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 353590416 = 6888^2 + 18804^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401034961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210010 + ... + 211910.

Almost surely, 2^401034960 is an apocalyptic number.

401034960 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 401034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676058292).

401034960 is an abundant number, since it is smaller than the sum of its proper divisors (951081624).

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

401034960 is a wasteful number, since it uses less digits than its factorization.

401034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 401034960 is about 20025.8572850203. The cubic root of 401034960 is about 737.4412233154.

The spelling of 401034960 in words is "four hundred one million, thirty-four thousand, nine hundred sixty".