465269760 has 264 divisors, whose sum is σ = 1686072960. Its totient is φ = 118407168.

The previous prime is 465269747. The next prime is 465269767. The reversal of 465269760 is 67962564.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465269767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059621 + ... + 1060059.

It is an arithmetic number, because the mean of its divisors is an integer number (6386640).

Almost surely, 2^465269760 is an apocalyptic number.

465269760 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 465269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843036480).

465269760 is an abundant number, since it is smaller than the sum of its proper divisors (1220803200).

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

465269760 is a wasteful number, since it uses less digits than its factorization.

465269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 465269760 is about 21570.1126561731. The cubic root of 465269760 is about 774.8808752040.

The spelling of 465269760 in words is "four hundred sixty-five million, two hundred sixty-nine thousand, seven hundred sixty".