541464 has 64 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 140160.

The previous prime is 541447. The next prime is 541469. The reversal of 541464 is 464145.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1920) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541469) 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, 1702 + ... + 1994.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁵⁴¹⁴⁶⁴ 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 541464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

541464 is an abundant number, since it is smaller than the sum of its proper divisors (1151976).

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

541464 is a wasteful number, since it uses less digits than its factorization.

541464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 541464 is about 735.8423744254. The cubic root of 541464 is about 81.5060529711.

The spelling of 541464 in words is "five hundred forty-one thousand, four hundred sixty-four".