1467645480 has 320 divisors, whose sum is σ = 5686496640. Its totient is φ = 332563968.

The previous prime is 1467645467. The next prime is 1467645503. The reversal of 1467645480 is 845467641.

1467645480 is a `hidden beast` number, since 1 + 46 + 7 + 64 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3696642 + ... + 3697038.

It is an arithmetic number, because the mean of its divisors is an integer number (17770302).

Almost surely, 2^1467645480 is an apocalyptic number.

1467645480 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 1467645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843248320).

1467645480 is an abundant number, since it is smaller than the sum of its proper divisors (4218851160).

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

1467645480 is a wasteful number, since it uses less digits than its factorization.

1467645480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1467645480 is about 38309.8613936412. The cubic root of 1467645480 is about 1136.4239742759.

The spelling of 1467645480 in words is "one billion, four hundred sixty-seven million, six hundred forty-five thousand, four hundred eighty".