541465344 has 432 divisors, whose sum is σ = 1993635840. Its totient is φ = 141834240.

The previous prime is 541465307. The next prime is 541465369. The reversal of 541465344 is 443564145.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 541465299 and 541465308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17466609 + ... + 17466639.

Almost surely, 2^541465344 is an apocalyptic number.

541465344 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 541465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996817920).

541465344 is an abundant number, since it is smaller than the sum of its proper divisors (1452170496).

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

541465344 is a wasteful number, since it uses less digits than its factorization.

541465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 541465344 is about 23269.4078996437. The cubic root of 541465344 is about 815.0612040804.

The spelling of 541465344 in words is "five hundred forty-one million, four hundred sixty-five thousand, three hundred forty-four".