465262340400 has 1080 divisors, whose sum is σ = 2008214769600. Its totient is φ = 98607974400.

The previous prime is 465262340399. The next prime is 465262340423. The reversal of 465262340400 is 4043262564.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 127153771 + ... + 127157429.

It is an arithmetic number, because the mean of its divisors is an integer number (1859458120).

Almost surely, 2^465262340400 is an apocalyptic number.

465262340400 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 465262340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004107384800).

465262340400 is an abundant number, since it is smaller than the sum of its proper divisors (1542952429200).

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

465262340400 is a wasteful number, since it uses less digits than its factorization.

465262340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 465262340400 in words is "four hundred sixty-five billion, two hundred sixty-two million, three hundred forty thousand, four hundred".