1461265420 has 48 divisors (see below), whose sum is σ = 3228529248. Its totient is φ = 554826240.

The previous prime is 1461265387. The next prime is 1461265423. The reversal of 1461265420 is 245621641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1461265423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6259 + ... + 54421.

It is an arithmetic number, because the mean of its divisors is an integer number (67261026).

Almost surely, 2^1461265420 is an apocalyptic number.

1461265420 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 1461265420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614264624).

1461265420 is an abundant number, since it is smaller than the sum of its proper divisors (1767263828).

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

1461265420 is a wasteful number, since it uses less digits than its factorization.

1461265420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48250 (or 48248 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1461265420 is about 38226.5015401619. The cubic root of 1461265420 is about 1134.7748510302.

The spelling of 1461265420 in words is "one billion, four hundred sixty-one million, two hundred sixty-five thousand, four hundred twenty".