401174400 has 384 divisors, whose sum is σ = 1502582400. Its totient is φ = 93184000.

The previous prime is 401174357. The next prime is 401174413. The reversal of 401174400 is 4471104.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3062335 + ... + 3062465.

It is an arithmetic number, because the mean of its divisors is an integer number (3912975).

Almost surely, 2^401174400 is an apocalyptic number.

401174400 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 401174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751291200).

401174400 is an abundant number, since it is smaller than the sum of its proper divisors (1101408000).

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

401174400 is a wasteful number, since it uses less digits than its factorization.

401174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 401174400 is about 20029.3384813378. The cubic root of 401174400 is about 737.5266829377.

The spelling of 401174400 in words is "four hundred one million, one hundred seventy-four thousand, four hundred".