465142276560 has 320 divisors, whose sum is σ = 1609776467712. Its totient is φ = 110357987328.

The previous prime is 465142276483. The next prime is 465142276619. The reversal of 465142276560 is 65672241564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12333252 + ... + 12370908.

Almost surely, 2^465142276560 is an apocalyptic number.

465142276560 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 465142276560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804888233856).

465142276560 is an abundant number, since it is smaller than the sum of its proper divisors (1144634191152).

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

465142276560 is a wasteful number, since it uses less digits than its factorization.

465142276560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37830 (or 37824 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 465142276560 in words is "four hundred sixty-five billion, one hundred forty-two million, two hundred seventy-six thousand, five hundred sixty".