1630457920 has 336 divisors, whose sum is σ = 4953121920. Its totient is φ = 500318208.

The previous prime is 1630457911. The next prime is 1630457929. The reversal of 1630457920 is 297540361.

It is an interprime number because it is at equal distance from previous prime (1630457911) and next prime (1630457929).

It is a self number, because there is not a number n which added to its sum of digits gives 1630457920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630457929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22335004 + ... + 22335076.

Almost surely, 2^1630457920 is an apocalyptic number.

1630457920 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 1630457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476560960).

1630457920 is an abundant number, since it is smaller than the sum of its proper divisors (3322664000).

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

1630457920 is a wasteful number, since it uses less digits than its factorization.

1630457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 1630457920 is about 40378.9291586590. The cubic root of 1630457920 is about 1176.9821187773.

The spelling of 1630457920 in words is "one billion, six hundred thirty million, four hundred fifty-seven thousand, nine hundred twenty".