465362496 has 168 divisors, whose sum is σ = 1444532544. Its totient is φ = 148262400.

The previous prime is 465362489. The next prime is 465362509. The reversal of 465362496 is 694263564.

465362496 is a `hidden beast` number, since 4 + 6 + 536 + 24 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357046 + ... + 358346.

It is an arithmetic number, because the mean of its divisors is an integer number (8598408).

Almost surely, 2^465362496 is an apocalyptic number.

465362496 is a gapful number since it is divisible by the number (46) 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 465362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722266272).

465362496 is an abundant number, since it is smaller than the sum of its proper divisors (979170048).

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

465362496 is a wasteful number, since it uses less digits than its factorization.

465362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1329 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 465362496 is about 21572.2621901367. The cubic root of 465362496 is about 774.9323539986.

The spelling of 465362496 in words is "four hundred sixty-five million, three hundred sixty-two thousand, four hundred ninety-six".