540972432 has 480 divisors, whose sum is σ = 2123197440. Its totient is φ = 128770560.

The previous prime is 540972401. The next prime is 540972451. The reversal of 540972432 is 234279045.

540972432 is a `hidden beast` number, since 5 + 409 + 7 + 243 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3891819 + ... + 3891957.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2^540972432 is an apocalyptic number.

540972432 is a gapful number since it is divisible by the number (52) 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 540972432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061598720).

540972432 is an abundant number, since it is smaller than the sum of its proper divisors (1582225008).

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

540972432 is a wasteful number, since it uses less digits than its factorization.

540972432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

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

The square root of 540972432 is about 23258.8140712290. The cubic root of 540972432 is about 814.8138041783.

It can be divided in two parts, 5409 and 72432, that added together give a square (77841 = 279²).

The spelling of 540972432 in words is "five hundred forty million, nine hundred seventy-two thousand, four hundred thirty-two".