1542468480 has 512 divisors, whose sum is σ = 6126658560. Its totient is φ = 322043904.

The previous prime is 1542468479. The next prime is 1542468517. The reversal of 1542468480 is 848642451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9824562 + ... + 9824718.

It is an arithmetic number, because the mean of its divisors is an integer number (11966130).

Almost surely, 2^1542468480 is an apocalyptic number.

1542468480 is a gapful number since it is divisible by the number (10) 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 1542468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063329280).

1542468480 is an abundant number, since it is smaller than the sum of its proper divisors (4584190080).

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

1542468480 is a wasteful number, since it uses less digits than its factorization.

1542468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 1542468480 is about 39274.2724948534. The cubic root of 1542468480 is about 1155.4170342393.

The spelling of 1542468480 in words is "one billion, five hundred forty-two million, four hundred sixty-eight thousand, four hundred eighty".