401649360 has 160 divisors (see below), whose sum is σ = 1497999360. Its totient is φ = 86966784.

The previous prime is 401649359. The next prime is 401649373. The reversal of 401649360 is 63946104.

401649360 = 2009² + 2010² + ... + 2103².

It is a super-2 number, since 2×401649360² = 322644416776819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25629 + ... + 38211.

It is an arithmetic number, because the mean of its divisors is an integer number (9362496).

Almost surely, 2^401649360 is an apocalyptic number.

401649360 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 401649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748999680).

401649360 is an abundant number, since it is smaller than the sum of its proper divisors (1096350000).

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

401649360 is a wasteful number, since it uses less digits than its factorization.

401649360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625 (or 12619 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 401649360 is about 20041.1915813407. The cubic root of 401649360 is about 737.8176266628.

The spelling of 401649360 in words is "four hundred one million, six hundred forty-nine thousand, three hundred sixty".