426465760500 has 288 divisors, whose sum is σ = 1450029864192. Its totient is φ = 104890464000.

The previous prime is 426465760481. The next prime is 426465760541. The reversal of 426465760500 is 5067564624.

426465760500 is a `hidden beast` number, since 4 + 26 + 4 + 6 + 576 + 0 + 50 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100793385 + ... + 100797615.

Almost surely, 2^426465760500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426465760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725014932096).

426465760500 is an abundant number, since it is smaller than the sum of its proper divisors (1023564103692).

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

426465760500 is a wasteful number, since it uses less digits than its factorization.

426465760500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 426465760500 in words is "four hundred twenty-six billion, four hundred sixty-five million, seven hundred sixty thousand, five hundred".