1526730480 has 240 divisors, whose sum is σ = 5724740736. Its totient is φ = 361428480.

The previous prime is 1526730467. The next prime is 1526730481. The reversal of 1526730480 is 840376251.

1526730480 is a `hidden beast` number, since 15 + 267 + 304 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1526730480² = 4661811917122060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1526730481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338319 + ... + 342801.

Almost surely, 2^1526730480 is an apocalyptic number.

1526730480 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 1526730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862370368).

1526730480 is an abundant number, since it is smaller than the sum of its proper divisors (4198010256).

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

1526730480 is a wasteful number, since it uses less digits than its factorization.

1526730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1526730480 is about 39073.3986236160. The cubic root of 1526730480 is about 1151.4739713565.

The spelling of 1526730480 in words is "one billion, five hundred twenty-six million, seven hundred thirty thousand, four hundred eighty".