1506466480 has 60 divisors (see below), whose sum is σ = 3627638352. Its totient is φ = 581781760.

The previous prime is 1506466477. The next prime is 1506466573. The reversal of 1506466480 is 846646051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56085 + ... + 78475.

Almost surely, 2^1506466480 is an apocalyptic number.

1506466480 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 1506466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813819176).

1506466480 is an abundant number, since it is smaller than the sum of its proper divisors (2121171872).

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

1506466480 is a wasteful number, since it uses less digits than its factorization.

1506466480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22462 (or 22427 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 1506466480 is about 38813.2255809795. The cubic root of 1506466480 is about 1146.3568336925.

The spelling of 1506466480 in words is "one billion, five hundred six million, four hundred sixty-six thousand, four hundred eighty".