541914408 has 128 divisors (see below), whose sum is σ = 1795276800. Its totient is φ = 148091328.

The previous prime is 541914403. The next prime is 541914413. The reversal of 541914408 is 804419145.

It is an interprime number because it is at equal distance from previous prime (541914403) and next prime (541914413).

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

It is not an unprimeable number, because it can be changed into a prime (541914403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26985 + ... + 42567.

It is an arithmetic number, because the mean of its divisors is an integer number (14025600).

Almost surely, 2^541914408 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 541914408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897638400).

541914408 is an abundant number, since it is smaller than the sum of its proper divisors (1253362392).

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

541914408 is a wasteful number, since it uses less digits than its factorization.

541914408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15628 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 541914408 is about 23279.0551354646. The cubic root of 541914408 is about 815.2864653463.

The spelling of 541914408 in words is "five hundred forty-one million, nine hundred fourteen thousand, four hundred eight".