541637460 has 288 divisors, whose sum is σ = 2071829760. Its totient is φ = 111476736.

The previous prime is 541637449. The next prime is 541637471. The reversal of 541637460 is 64736145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541637449) and next prime (541637471).

It is a super-2 number, since 2×541637460² = 586742276150503200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 703956 + ... + 704724.

Almost surely, 2^541637460 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 541637460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035914880).

541637460 is an abundant number, since it is smaller than the sum of its proper divisors (1530192300).

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

541637460 is a wasteful number, since it uses less digits than its factorization.

541637460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 541637460 is about 23273.1059379705. The cubic root of 541637460 is about 815.1475563060.

The spelling of 541637460 in words is "five hundred forty-one million, six hundred thirty-seven thousand, four hundred sixty".