1506456630 has 224 divisors, whose sum is σ = 4742535744. Its totient is φ = 337229568.

The previous prime is 1506456619. The next prime is 1506456641. The reversal of 1506456630 is 366546051.

1506456630 is a `hidden beast` number, since 1 + 5 + 0 + 64 + 566 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1506456619) and next prime (1506456641).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2704312 + ... + 2704868.

Almost surely, 2^1506456630 is an apocalyptic number.

1506456630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506456630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371267872).

1506456630 is an abundant number, since it is smaller than the sum of its proper divisors (3236079114).

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

1506456630 is an equidigital number, since it uses as much as digits as its factorization.

1506456630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1506456630 is about 38813.0986910347. The cubic root of 1506456630 is about 1146.3543352102.

The spelling of 1506456630 in words is "one billion, five hundred six million, four hundred fifty-six thousand, six hundred thirty".