401350464 has 168 divisors, whose sum is σ = 1208215008. Its totient is φ = 132088320.

The previous prime is 401350393. The next prime is 401350489. The reversal of 401350464 is 464053104.

It is a super-2 number, since 2×401350464² = 322164389906030592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037214 + ... + 2037410.

It is an arithmetic number, because the mean of its divisors is an integer number (7191756).

Almost surely, 2^401350464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604107504).

401350464 is an abundant number, since it is smaller than the sum of its proper divisors (806864544).

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

401350464 is a wasteful number, since it uses less digits than its factorization.

401350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 401350464 is about 20033.7331518616. The cubic root of 401350464 is about 737.6345602985.

The spelling of 401350464 in words is "four hundred one million, three hundred fifty thousand, four hundred sixty-four".