401760000 has 450 divisors, whose sum is σ = 1545280352. Its totient is φ = 103680000.

The previous prime is 401759999. The next prime is 401760001. The reversal of 401760000 is 67104.

It is an interprime number because it is at equal distance from previous prime (401759999) and next prime (401760001).

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×401760000² = 322822195200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401760001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959985 + ... + 12960015.

Almost surely, 2^401760000 is an apocalyptic number.

401760000 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 401760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772640176).

401760000 is an abundant number, since it is smaller than the sum of its proper divisors (1143520352).

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

401760000 is an frugal number, since it uses more digits than its factorization.

401760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401760000 is about 20043.9517061881. The cubic root of 401760000 is about 737.8853678785.

The spelling of 401760000 in words is "four hundred one million, seven hundred sixty thousand".