401661600 has 216 divisors, whose sum is σ = 1360850400. Its totient is φ = 102896640.

The previous prime is 401661599. The next prime is 401661619. The reversal of 401661600 is 6166104.

It is a super-2 number, since 2×401661600² = 322664081829120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2018301 + ... + 2018499.

Almost surely, 2^401661600 is an apocalyptic number.

401661600 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 401661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680425200).

401661600 is an abundant number, since it is smaller than the sum of its proper divisors (959188800).

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

401661600 is a wasteful number, since it uses less digits than its factorization.

401661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 401661600 is about 20041.4969500784. The cubic root of 401661600 is about 737.8251214222.

The spelling of 401661600 in words is "four hundred one million, six hundred sixty-one thousand, six hundred".