465429441087360 has 1280 divisors, whose sum is σ = 1696449151900800. Its totient is φ = 121578757816320.

The previous prime is 465429441087353. The next prime is 465429441087389. The reversal of 465429441087360 is 63780144924564.

465429441087360 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 2 + 94 + 410 + 8 + 73 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 466829930382 + ... + 466829931378.

It is a 1-persistent number, because it is pandigital, but 2⋅465429441087360 = 930858882174720 is not.

Almost surely, 2^{465429441087360} is an apocalyptic number.

465429441087360 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 465429441087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848224575950400).

465429441087360 is an abundant number, since it is smaller than the sum of its proper divisors (1231019710813440).

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

465429441087360 is a wasteful number, since it uses less digits than its factorization.

465429441087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 465429441087360 in words is "four hundred sixty-five trillion, four hundred twenty-nine billion, four hundred forty-one million, eighty-seven thousand, three hundred sixty".