1460679948 has 288 divisors, whose sum is σ = 4944343040. Its totient is φ = 352719360.

The previous prime is 1460679919. The next prime is 1460680027. The reversal of 1460679948 is 8499760641.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1460679894 and 1460679903.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1929186 + ... + 1929942.

Almost surely, 2^1460679948 is an apocalyptic number.

1460679948 is a gapful number since it is divisible by the number (18) 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 1460679948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472171520).

1460679948 is an abundant number, since it is smaller than the sum of its proper divisors (3483663092).

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

1460679948 is a wasteful number, since it uses less digits than its factorization.

1460679948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1460679948 is about 38218.8428396256. The cubic root of 1460679948 is about 1134.6232774596.

The spelling of 1460679948 in words is "one billion, four hundred sixty million, six hundred seventy-nine thousand, nine hundred forty-eight".