1953390816 has 240 divisors, whose sum is σ = 6403320000. Its totient is φ = 580027392.

The previous prime is 1953390793. The next prime is 1953390833. The reversal of 1953390816 is 6180933591.

1953390816 is a `hidden beast` number, since 19 + 533 + 90 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976185 + ... + 978183.

It is an arithmetic number, because the mean of its divisors is an integer number (26680500).

Almost surely, 2^1953390816 is an apocalyptic number.

1953390816 is a gapful number since it is divisible by the number (16) 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 1953390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201660000).

1953390816 is an abundant number, since it is smaller than the sum of its proper divisors (4449929184).

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

1953390816 is a wasteful number, since it uses less digits than its factorization.

1953390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1953390816 is about 44197.1810865806. The cubic root of 1953390816 is about 1250.0567048409.

The spelling of 1953390816 in words is "one billion, nine hundred fifty-three million, three hundred ninety thousand, eight hundred sixteen".