462505120 has 288 divisors, whose sum is σ = 1439617536. Its totient is φ = 138700800.

The previous prime is 462505103. The next prime is 462505129. The reversal of 462505120 is 21505264.

462505120 = T₂₃₆₅ + T₂₃₆₆ + ... + T₂₅₁₉.

It is not an unprimeable number, because it can be changed into a prime (462505129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2673354 + ... + 2673526.

It is an arithmetic number, because the mean of its divisors is an integer number (4998672).

Almost surely, 2^462505120 is an apocalyptic number.

462505120 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 462505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719808768).

462505120 is an abundant number, since it is smaller than the sum of its proper divisors (977112416).

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

462505120 is a wasteful number, since it uses less digits than its factorization.

462505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 462505120 is about 21505.9322048592. The cubic root of 462505120 is about 773.3430405704.

The spelling of 462505120 in words is "four hundred sixty-two million, five hundred five thousand, one hundred twenty".