541603920 has 320 divisors, whose sum is σ = 2023870464. Its totient is φ = 118056960.

The previous prime is 541603919. The next prime is 541603921. The reversal of 541603920 is 29306145.

It is an interprime number because it is at equal distance from previous prime (541603919) and next prime (541603921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541603921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1475577 + ... + 1475943.

Almost surely, 2^541603920 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 541603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011935232).

541603920 is an abundant number, since it is smaller than the sum of its proper divisors (1482266544).

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

541603920 is a wasteful number, since it uses less digits than its factorization.

541603920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 541603920 is about 23272.3853526019. The cubic root of 541603920 is about 815.1307304059.

The spelling of 541603920 in words is "five hundred forty-one million, six hundred three thousand, nine hundred twenty".