462544038 has 72 divisors (see below), whose sum is σ = 1122632784. Its totient is φ = 137485920.

The previous prime is 462544021. The next prime is 462544039. The reversal of 462544038 is 830445264.

It is a super-3 number, since 3×462544038³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 462543993 and 462544011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462544039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113431 + ... + 117437.

It is an arithmetic number, because the mean of its divisors is an integer number (15592122).

Almost surely, 2^462544038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462544038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561316392).

462544038 is an abundant number, since it is smaller than the sum of its proper divisors (660088746).

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

462544038 is a wasteful number, since it uses less digits than its factorization.

462544038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 462544038 is about 21506.8370059384. The cubic root of 462544038 is about 773.3647312278.

The spelling of 462544038 in words is "four hundred sixty-two million, five hundred forty-four thousand, thirty-eight".