540977400 has 384 divisors, whose sum is σ = 2024870400. Its totient is φ = 132249600.

The previous prime is 540977389. The next prime is 540977447. The reversal of 540977400 is 4779045.

It is a happy number.

540977400 is a `hidden beast` number, since 540 + 9 + 77 + 40 + 0 = 666.

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, 6517759 + ... + 6517841.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^540977400 is an apocalyptic number.

540977400 is a gapful number since it is divisible by the number (50) 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 540977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).

540977400 is an abundant number, since it is smaller than the sum of its proper divisors (1483893000).

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

540977400 is a wasteful number, since it uses less digits than its factorization.

540977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 540977400 is about 23258.9208692063. The cubic root of 540977400 is about 814.8162984413.

The spelling of 540977400 in words is "five hundred forty million, nine hundred seventy-seven thousand, four hundred".