460095552 has 280 divisors, whose sum is σ = 1612920320. Its totient is φ = 126904320.

The previous prime is 460095539. The next prime is 460095553. The reversal of 460095552 is 255590064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460095553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124724 + ... + 1125132.

Almost surely, 2^460095552 is an apocalyptic number.

460095552 is a gapful number since it is divisible by the number (42) 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 460095552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806460160).

460095552 is an abundant number, since it is smaller than the sum of its proper divisors (1152824768).

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

460095552 is a wasteful number, since it uses less digits than its factorization.

460095552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 460095552 is about 21449.8380413466. The cubic root of 460095552 is about 771.9977091040.

The spelling of 460095552 in words is "four hundred sixty million, ninety-five thousand, five hundred fifty-two".