460923780240 has 2520 divisors, whose sum is σ = 2170012610304. Its totient is φ = 90531302400.

The previous prime is 460923780203. The next prime is 460923780277. The reversal of 460923780240 is 42087329064.

460923780240 is a `hidden beast` number, since 4 + 609 + 2 + 37 + 8 + 0 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460923780203) and next prime (460923780277).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 10719157659 + ... + 10719157701.

Almost surely, 2^460923780240 is an apocalyptic number.

460923780240 is a gapful number since it is divisible by the number (40) 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 460923780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085006305152).

460923780240 is an abundant number, since it is smaller than the sum of its proper divisors (1709088830064).

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

460923780240 is a wasteful number, since it uses less digits than its factorization.

460923780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 460923780240 in words is "four hundred sixty billion, nine hundred twenty-three million, seven hundred eighty thousand, two hundred forty".