401454144 has 560 divisors, whose sum is σ = 1569646848. Its totient is φ = 98537472.

The previous prime is 401454103. The next prime is 401454197. The reversal of 401454144 is 441454104.

It is a super-2 number, since 2×401454144² = 322330859469545472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10850094 + ... + 10850130.

Almost surely, 2^401454144 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 401454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784823424).

401454144 is an abundant number, since it is smaller than the sum of its proper divisors (1168192704).

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

401454144 is a wasteful number, since it uses less digits than its factorization.

401454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 401454144 is about 20036.3206203135. The cubic root of 401454144 is about 737.6980720117.

The spelling of 401454144 in words is "four hundred one million, four hundred fifty-four thousand, one hundred forty-four".