1630434240 has 168 divisors, whose sum is σ = 5624309808. Its totient is φ = 433520640.

The previous prime is 1630434233. The next prime is 1630434257. The reversal of 1630434240 is 424340361.

1630434240 is a `hidden beast` number, since 1 + 630 + 4 + 3 + 4 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413504 + ... + 1414656.

Almost surely, 2^1630434240 is an apocalyptic number.

1630434240 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 1630434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812154904).

1630434240 is an abundant number, since it is smaller than the sum of its proper divisors (3993875568).

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

1630434240 is a wasteful number, since it uses less digits than its factorization.

1630434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1630434240 is about 40378.6359353557. The cubic root of 1630434240 is about 1176.9764207725.

The spelling of 1630434240 in words is "one billion, six hundred thirty million, four hundred thirty-four thousand, two hundred forty".