1460283552 has 480 divisors, whose sum is σ = 5450505984. Its totient is φ = 373248000.

The previous prime is 1460283541. The next prime is 1460283563. The reversal of 1460283552 is 2553820641.

1460283552 is a `hidden beast` number, since 14 + 602 + 8 + 35 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1460283541) and next prime (1460283563).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9670677 + ... + 9670827.

Almost surely, 2^1460283552 is an apocalyptic number.

1460283552 is a gapful number since it is divisible by the number (12) 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 1460283552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725252992).

1460283552 is an abundant number, since it is smaller than the sum of its proper divisors (3990222432).

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

1460283552 is a wasteful number, since it uses less digits than its factorization.

1460283552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1460283552 is about 38213.6566164506. The cubic root of 1460283552 is about 1134.5206310128.

The spelling of 1460283552 in words is "one billion, four hundred sixty million, two hundred eighty-three thousand, five hundred fifty-two".