1495825920 has 640 divisors, whose sum is σ = 6010329600. Its totient is φ = 350355456.

The previous prime is 1495825909. The next prime is 1495825921. The reversal of 1495825920 is 295285941.

It is a happy number.

1495825920 is a `hidden beast` number, since 1 + 4 + 9 + 58 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1495825921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22325727 + ... + 22325793.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2^1495825920 is an apocalyptic number.

1495825920 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 1495825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005164800).

1495825920 is an abundant number, since it is smaller than the sum of its proper divisors (4514503680).

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

1495825920 is a wasteful number, since it uses less digits than its factorization.

1495825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1495825920 is about 38675.9087805316. The cubic root of 1495825920 is about 1143.6514497189.

The spelling of 1495825920 in words is "one billion, four hundred ninety-five million, eight hundred twenty-five thousand, nine hundred twenty".