1467078960 has 80 divisors (see below), whose sum is σ = 4589750880. Its totient is φ = 387624960.

The previous prime is 1467078959. The next prime is 1467079007. The reversal of 1467078960 is 698707641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881 + ... + 54200.

It is an arithmetic number, because the mean of its divisors is an integer number (57371886).

Almost surely, 2^1467078960 is an apocalyptic number.

1467078960 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 1467078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294875440).

1467078960 is an abundant number, since it is smaller than the sum of its proper divisors (3122671920).

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

1467078960 is a wasteful number, since it uses less digits than its factorization.

1467078960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56206 (or 56200 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 1467078960 is about 38302.4667612936. The cubic root of 1467078960 is about 1136.2777332901.

The spelling of 1467078960 in words is "one billion, four hundred sixty-seven million, seventy-eight thousand, nine hundred sixty".