1542478464 has 192 divisors, whose sum is σ = 4658078880. Its totient is φ = 508032000.

The previous prime is 1542478447. The next prime is 1542478471. The reversal of 1542478464 is 4648742451.

1542478464 is a `hidden beast` number, since 1 + 542 + 47 + 8 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3141259 + ... + 3141749.

Almost surely, 2^1542478464 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 1542478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329039440).

1542478464 is an abundant number, since it is smaller than the sum of its proper divisors (3115600416).

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

1542478464 is an equidigital number, since it uses as much as digits as its factorization.

1542478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 1542478464 is about 39274.3996007577. The cubic root of 1542478464 is about 1155.4195271392.

The spelling of 1542478464 in words is "one billion, five hundred forty-two million, four hundred seventy-eight thousand, four hundred sixty-four".