462340944 has 180 divisors, whose sum is σ = 1445446548. Its totient is φ = 137134080.

The previous prime is 462340919. The next prime is 462340951. The reversal of 462340944 is 449043264.

It can be written as a sum of positive squares in 2 ways, for example, as 292820544 + 169520400 = 17112^2 + 13020^2 .

It is a super-2 number, since 2×462340944² = 427518296997622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 462340899 and 462340908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1798864 + ... + 1799120.

Almost surely, 2^462340944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462340944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722723274).

462340944 is an abundant number, since it is smaller than the sum of its proper divisors (983105604).

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

462340944 is a wasteful number, since it uses less digits than its factorization.

462340944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 462340944 is about 21502.1148727282. The cubic root of 462340944 is about 773.2515249040.

The spelling of 462340944 in words is "four hundred sixty-two million, three hundred forty thousand, nine hundred forty-four".