401948416 has 36 divisors (see below), whose sum is σ = 812036232. Its totient is φ = 198542336.

The previous prime is 401948399. The next prime is 401948419. The reversal of 401948416 is 614849104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401948419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11790 + ... + 30706.

It is an arithmetic number, because the mean of its divisors is an integer number (22556562).

Almost surely, 2^401948416 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 401948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406018116).

401948416 is an abundant number, since it is smaller than the sum of its proper divisors (410087816).

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

401948416 is an equidigital number, since it uses as much as digits as its factorization.

401948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19016 (or 19002 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 401948416 is about 20048.6512264541. The cubic root of 401948416 is about 738.0007001509. Note that the first 3 decimals are identical.

The spelling of 401948416 in words is "four hundred one million, nine hundred forty-eight thousand, four hundred sixteen".