1540534464 has 392 divisors, whose sum is σ = 5396971680. Its totient is φ = 426995712.

The previous prime is 1540534453. The next prime is 1540534477. The reversal of 1540534464 is 4644350451.

1540534464 is a `hidden beast` number, since 1 + 540 + 53 + 4 + 4 + 64 = 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 55 ways as a sum of consecutive naturals, for example, 17309332 + ... + 17309420.

Almost surely, 2^1540534464 is an apocalyptic number.

1540534464 is a gapful number since it is divisible by the number (14) 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 1540534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698485840).

1540534464 is an abundant number, since it is smaller than the sum of its proper divisors (3856437216).

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

1540534464 is an frugal number, since it uses more digits than its factorization.

1540534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

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

The square root of 1540534464 is about 39249.6428518783. The cubic root of 1540534464 is about 1154.9339277434.

The spelling of 1540534464 in words is "one billion, five hundred forty million, five hundred thirty-four thousand, four hundred sixty-four".