468672435 has 96 divisors (see below), whose sum is σ = 1037836800. Its totient is φ = 189964800.

The previous prime is 468672431. The next prime is 468672443. The reversal of 468672435 is 534276864.

It is not a de Polignac number, because 468672435 - 2² = 468672431 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (468672431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140416 + ... + 143714.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2^468672435 is an apocalyptic number.

468672435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468672435 is an abundant number, since it is smaller than the sum of its proper divisors (569164365).

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

468672435 is a wasteful number, since it uses less digits than its factorization.

468672435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3366 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 468672435 is about 21648.8437335577. The cubic root of 468672435 is about 776.7652774602.

The spelling of 468672435 in words is "four hundred sixty-eight million, six hundred seventy-two thousand, four hundred thirty-five".