401657760 has 144 divisors (see below), whose sum is σ = 1566504576. Its totient is φ = 91805184.

The previous prime is 401657719. The next prime is 401657761. The reversal of 401657760 is 67756104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×401657760² = 322657912336435200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401657761) 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, 9844 + ... + 30003.

It is an arithmetic number, because the mean of its divisors is an integer number (10878504).

Almost surely, 2^401657760 is an apocalyptic number.

401657760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401657760 is an abundant number, since it is smaller than the sum of its proper divisors (1164846816).

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

401657760 is a wasteful number, since it uses less digits than its factorization.

401657760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39875 (or 39864 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 401657760 is about 20041.4011486223. The cubic root of 401657760 is about 737.8227701415.

It can be divided in two parts, 4016 and 57760, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 401657760 in words is "four hundred one million, six hundred fifty-seven thousand, seven hundred sixty".