462525000 has 192 divisors, whose sum is σ = 1653644160. Its totient is φ = 105600000.

The previous prime is 462524981. The next prime is 462525017. The reversal of 462525000 is 525264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524560 + ... + 525440.

It is an arithmetic number, because the mean of its divisors is an integer number (8612730).

Almost surely, 2^462525000 is an apocalyptic number.

462525000 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 462525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826822080).

462525000 is an abundant number, since it is smaller than the sum of its proper divisors (1191119160).

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

462525000 is an equidigital number, since it uses as much as digits as its factorization.

462525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 462525000 is about 21506.3943979459. The cubic root of 462525000 is about 773.3541206924.

The spelling of 462525000 in words is "four hundred sixty-two million, five hundred twenty-five thousand".