401477648 has 80 divisors (see below), whose sum is σ = 919066176. Its totient is φ = 167493120.

The previous prime is 401477641. The next prime is 401477651. The reversal of 401477648 is 846774104.

It is a super-2 number, since 2×401477648² = 322368603687223808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401477641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518990 + ... + 519762.

Almost surely, 2^401477648 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 401477648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459533088).

401477648 is an abundant number, since it is smaller than the sum of its proper divisors (517588528).

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

401477648 is a wasteful number, since it uses less digits than its factorization.

401477648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 401477648 is about 20036.9071465633. The cubic root of 401477648 is about 737.7124684397.

The spelling of 401477648 in words is "four hundred one million, four hundred seventy-seven thousand, six hundred forty-eight".