1461283340 has 48 divisors (see below), whose sum is σ = 3393563040. Its totient is φ = 524090880.

The previous prime is 1461283283. The next prime is 1461283361. The reversal of 1461283340 is 433821641.

It is a junction number, because it is equal to n+sod(n) for n = 1461283297 and 1461283306.

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, 29435 + ... + 61554.

It is an arithmetic number, because the mean of its divisors is an integer number (70699230).

Almost surely, 2^1461283340 is an apocalyptic number.

1461283340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461283340 is an abundant number, since it is smaller than the sum of its proper divisors (1932279700).

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

1461283340 is a wasteful number, since it uses less digits than its factorization.

1461283340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91082 (or 91080 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1461283340 is about 38226.7359318056. The cubic root of 1461283340 is about 1134.7794897225.

The spelling of 1461283340 in words is "one billion, four hundred sixty-one million, two hundred eighty-three thousand, three hundred forty".