401577540 has 384 divisors, whose sum is σ = 1505280000. Its totient is φ = 79252992.

The previous prime is 401577509. The next prime is 401577557. The reversal of 401577540 is 45775104.

It is a super-2 number, since 2×401577540² = 322529041264903200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5083221 + ... + 5083299.

It is an arithmetic number, because the mean of its divisors is an integer number (3920000).

Almost surely, 2^401577540 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 401577540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752640000).

401577540 is an abundant number, since it is smaller than the sum of its proper divisors (1103702460).

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

401577540 is a wasteful number, since it uses less digits than its factorization.

401577540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 401577540 is about 20039.3996916075. The cubic root of 401577540 is about 737.7736469913.

The spelling of 401577540 in words is "four hundred one million, five hundred seventy-seven thousand, five hundred forty".