541491264 has 112 divisors (see below), whose sum is σ = 1630923840. Its totient is φ = 176071680.

The previous prime is 541491257. The next prime is 541491271. The reversal of 541491264 is 462194145.

541491264 is a `hidden beast` number, since 541 + 4 + 91 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (541491257) and next prime (541491271).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67027 + ... + 74669.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 2^541491264 is an apocalyptic number.

541491264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815461920).

541491264 is an abundant number, since it is smaller than the sum of its proper divisors (1089432576).

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

541491264 is a wasteful number, since it uses less digits than its factorization.

541491264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7689 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 541491264 is about 23269.9648474165. The cubic root of 541491264 is about 815.0742095599.

The spelling of 541491264 in words is "five hundred forty-one million, four hundred ninety-one thousand, two hundred sixty-four".