401352000 has 224 divisors, whose sum is σ = 1515221760. Its totient is φ = 91699200.

The previous prime is 401351999. The next prime is 401352011. The reversal of 401352000 is 253104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401352000² = 322166855808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166806 + ... + 169194.

Almost surely, 2^401352000 is an apocalyptic number.

401352000 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 401352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757610880).

401352000 is an abundant number, since it is smaller than the sum of its proper divisors (1113869760).

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

401352000 is a wasteful number, since it uses less digits than its factorization.

401352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 401352000 is about 20033.7714871664. The cubic root of 401352000 is about 737.6355012925.

The spelling of 401352000 in words is "four hundred one million, three hundred fifty-two thousand".