5460459264 has 288 divisors, whose sum is σ = 17668663040. Its totient is φ = 1653239808.

The previous prime is 5460459227. The next prime is 5460459269. The reversal of 5460459264 is 4629540645.

5460459264 is a `hidden beast` number, since 5 + 460 + 45 + 92 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460459269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6019899 + ... + 6020805.

Almost surely, 2^5460459264 is an apocalyptic number.

5460459264 is a gapful number since it is divisible by the number (54) 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 5460459264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834331520).

5460459264 is an abundant number, since it is smaller than the sum of its proper divisors (12208203776).

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

5460459264 is a wasteful number, since it uses less digits than its factorization.

5460459264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5460459264 is about 73894.9204208246. The cubic root of 5460459264 is about 1760.9339120624.

The spelling of 5460459264 in words is "five billion, four hundred sixty million, four hundred fifty-nine thousand, two hundred sixty-four".