401378544 has 160 divisors (see below), whose sum is σ = 1323962880. Its totient is φ = 114048000.

The previous prime is 401378533. The next prime is 401378557. The reversal of 401378544 is 445873104.

401378544 is a `hidden beast` number, since 40 + 1 + 3 + 78 + 544 = 666.

It is a super-2 number, since 2×401378544² = 322209471167119872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401378499 and 401378508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000744 + ... + 1001144.

It is an arithmetic number, because the mean of its divisors is an integer number (8274768).

Almost surely, 2^401378544 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 401378544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661981440).

401378544 is an abundant number, since it is smaller than the sum of its proper divisors (922584336).

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

401378544 is a wasteful number, since it uses less digits than its factorization.

401378544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 401378544 is about 20034.4339575642. The cubic root of 401378544 is about 737.6517624674.

The spelling of 401378544 in words is "four hundred one million, three hundred seventy-eight thousand, five hundred forty-four".