401254400 has 144 divisors (see below), whose sum is σ = 1055674620. Its totient is φ = 150732800.

The previous prime is 401254393. The next prime is 401254409. The reversal of 401254400 is 4452104.

401254400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 166306816 + 234947584 = 12896^2 + 15328^2 .

It is a super-2 number, since 2×401254400² = 322010187038720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (401254409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870170 + ... + 870630.

Almost surely, 2^401254400 is an apocalyptic number.

401254400 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 401254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527837310).

401254400 is an abundant number, since it is smaller than the sum of its proper divisors (654420220).

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

401254400 is a wasteful number, since it uses less digits than its factorization.

401254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 401254400 is about 20031.3354522358. The cubic root of 401254400 is about 737.5757041889.

The spelling of 401254400 in words is "four hundred one million, two hundred fifty-four thousand, four hundred".