4460462240 has 96 divisors (see below), whose sum is σ = 11612595456. Its totient is φ = 1608606720.

The previous prime is 4460462231. The next prime is 4460462263. The reversal of 4460462240 is 422640644.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4460462197 and 4460462206.

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, 64505 + ... + 114375.

It is an arithmetic number, because the mean of its divisors is an integer number (120964536).

Almost surely, 2^4460462240 is an apocalyptic number.

4460462240 is a gapful number since it is divisible by the number (40) 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 4460462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806297728).

4460462240 is an abundant number, since it is smaller than the sum of its proper divisors (7152133216).

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

4460462240 is a wasteful number, since it uses less digits than its factorization.

4460462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49942 (or 49934 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4460462240 is about 66786.6920875709. The cubic root of 4460462240 is about 1646.1141788337.

The spelling of 4460462240 in words is "four billion, four hundred sixty million, four hundred sixty-two thousand, two hundred forty".