654081480 has 320 divisors, whose sum is σ = 2420454960. Its totient is φ = 157427712.

The previous prime is 654081473. The next prime is 654081499. The reversal of 654081480 is 84180456.

654081480 is a `hidden beast` number, since 65 + 40 + 81 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 407151684 + 246929796 = 20178^2 + 15714^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2232214 + ... + 2232506.

Almost surely, 2^654081480 is an apocalyptic number.

654081480 is a gapful number since it is divisible by the number (60) 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 654081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210227480).

654081480 is an abundant number, since it is smaller than the sum of its proper divisors (1766373480).

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

654081480 is a wasteful number, since it uses less digits than its factorization.

654081480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 654081480 is about 25575.0167155371. The cubic root of 654081480 is about 868.0484197897.

The spelling of 654081480 in words is "six hundred fifty-four million, eighty-one thousand, four hundred eighty".