462725120 has 224 divisors, whose sum is σ = 1321125120. Its totient is φ = 153354240.

The previous prime is 462725113. The next prime is 462725129. The reversal of 462725120 is 21527264.

It is a happy number.

It is a super-2 number, since 2×462725120² = 428229073358028800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462725129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5857241 + ... + 5857319.

It is an arithmetic number, because the mean of its divisors is an integer number (5897880).

Almost surely, 2^462725120 is an apocalyptic number.

462725120 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 462725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660562560).

462725120 is an abundant number, since it is smaller than the sum of its proper divisors (858400000).

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

462725120 is a wasteful number, since it uses less digits than its factorization.

462725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 462725120 is about 21511.0464645493. The cubic root of 462725120 is about 773.4656399339.

The spelling of 462725120 in words is "four hundred sixty-two million, seven hundred twenty-five thousand, one hundred twenty".