1495084864 has 224 divisors, whose sum is σ = 3868928000. Its totient is φ = 572382720.

The previous prime is 1495084859. The next prime is 1495084867. The reversal of 1495084864 is 4684805941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1495084867) 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, 48228529 + ... + 48228559.

It is an arithmetic number, because the mean of its divisors is an integer number (17272000).

Almost surely, 2^1495084864 is an apocalyptic number.

1495084864 is a gapful number since it is divisible by the number (14) 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 1495084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934464000).

1495084864 is an abundant number, since it is smaller than the sum of its proper divisors (2373843136).

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

1495084864 is an frugal number, since it uses more digits than its factorization.

1495084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 1495084864 is about 38666.3272628782. The cubic root of 1495084864 is about 1143.4625574705.

The spelling of 1495084864 in words is "one billion, four hundred ninety-five million, eighty-four thousand, eight hundred sixty-four".