462515040 has 288 divisors, whose sum is σ = 1756774656. Its totient is φ = 110039040.

The previous prime is 462515029. The next prime is 462515069. The reversal of 462515040 is 40515264.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 462514995 and 462515013.

It is a congruent number.

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, 579922 + ... + 580718.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^462515040 is an apocalyptic number.

462515040 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 462515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

462515040 is an abundant number, since it is smaller than the sum of its proper divisors (1294259616).

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

462515040 is a wasteful number, since it uses less digits than its factorization.

462515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 462515040 is about 21506.1628376612. The cubic root of 462515040 is about 773.3485695241.

The spelling of 462515040 in words is "four hundred sixty-two million, five hundred fifteen thousand, forty".