401487120 has 120 divisors (see below), whose sum is σ = 1361923992. Its totient is φ = 105984000.

The previous prime is 401487091. The next prime is 401487127. The reversal of 401487120 is 21784104.

It can be written as a sum of positive squares in 4 ways, for example, as 92852496 + 308634624 = 9636^2 + 17568^2 .

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

It is a super-2 number, since 2×401487120² = 322383815051788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401487127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69960 + ... + 75480.

Almost surely, 2^401487120 is an apocalyptic number.

401487120 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 401487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680961996).

401487120 is an abundant number, since it is smaller than the sum of its proper divisors (960436872).

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

401487120 is a wasteful number, since it uses less digits than its factorization.

401487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 401487120 is about 20037.1435089935. The cubic root of 401487120 is about 737.7182699728.

The spelling of 401487120 in words is "four hundred one million, four hundred eighty-seven thousand, one hundred twenty".