401448780 has 72 divisors (see below), whose sum is σ = 1220611392. Its totient is φ = 106799616.

The previous prime is 401448757. The next prime is 401448793. The reversal of 401448780 is 87844104.

401448780 = 1657² + 1658² + ... + 1791².

It is a happy number.

It is a super-2 number, since 2×401448780² = 322322245926976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80932 + ... + 85748.

It is an arithmetic number, because the mean of its divisors is an integer number (16952936).

Almost surely, 2^401448780 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 401448780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610305696).

401448780 is an abundant number, since it is smaller than the sum of its proper divisors (819162612).

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

401448780 is a wasteful number, since it uses less digits than its factorization.

401448780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 401448780 is about 20036.1867629547. The cubic root of 401448780 is about 737.6947864309.

The spelling of 401448780 in words is "four hundred one million, four hundred forty-eight thousand, seven hundred eighty".