1531812480 has 512 divisors, whose sum is σ = 5737132800. Its totient is φ = 344064000.

The previous prime is 1531812479. The next prime is 1531812511. The reversal of 1531812480 is 842181351.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 25111650 + ... + 25111710.

Almost surely, 2^1531812480 is an apocalyptic number.

1531812480 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 1531812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868566400).

1531812480 is an abundant number, since it is smaller than the sum of its proper divisors (4205320320).

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

1531812480 is a wasteful number, since it uses less digits than its factorization.

1531812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1531812480 is about 39138.3760521563. The cubic root of 1531812480 is about 1152.7501865241.

The spelling of 1531812480 in words is "one billion, five hundred thirty-one million, eight hundred twelve thousand, four hundred eighty".