464211825 has 96 divisors (see below), whose sum is σ = 988127232. Its totient is φ = 186624000.

The previous prime is 464211793. The next prime is 464211827. The reversal of 464211825 is 528112464.

It is a happy number.

It is not a de Polignac number, because 464211825 - 2⁵ = 464211793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (464211827) 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, 177729 + ... + 180321.

It is an arithmetic number, because the mean of its divisors is an integer number (10292992).

Almost surely, 2^464211825 is an apocalyptic number.

It is an amenable number.

464211825 is an abundant number, since it is smaller than the sum of its proper divisors (523915407).

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

464211825 is a wasteful number, since it uses less digits than its factorization.

464211825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2650 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 464211825 is about 21545.5755318812. The cubic root of 464211825 is about 774.2931188873.

The spelling of 464211825 in words is "four hundred sixty-four million, two hundred eleven thousand, eight hundred twenty-five".