540474624 has 108 divisors (see below), whose sum is σ = 1612256100. Its totient is φ = 173924352.

The previous prime is 540474607. The next prime is 540474637. The reversal of 540474624 is 426474045.

It can be written as a sum of positive squares in 2 ways, for example, as 106502400 + 433972224 = 10320^2 + 20832^2 .

It is a super-2 number, since 2×540474624² = 584225638375882752, 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 11 ways as a sum of consecutive naturals, for example, 62772 + ... + 70860.

Almost surely, 2^540474624 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 540474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806128050).

540474624 is an abundant number, since it is smaller than the sum of its proper divisors (1071781476).

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

540474624 is a wasteful number, since it uses less digits than its factorization.

540474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 540474624 is about 23248.1101167385. The cubic root of 540474624 is about 814.5637943266.

The spelling of 540474624 in words is "five hundred forty million, four hundred seventy-four thousand, six hundred twenty-four".