462905352 has 144 divisors (see below), whose sum is σ = 1570727340. Its totient is φ = 122072832.

The previous prime is 462905351. The next prime is 462905353. The reversal of 462905352 is 253509264.

It is an interprime number because it is at equal distance from previous prime (462905351) and next prime (462905353).

It can be written as a sum of positive squares in 2 ways, for example, as 446307876 + 16597476 = 21126^2 + 4074^2 .

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

It is not an unprimeable number, because it can be changed into a prime (462905351) 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, 40818 + ... + 50910.

Almost surely, 2^462905352 is an apocalyptic number.

462905352 is a gapful number since it is divisible by the number (42) 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 462905352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785363670).

462905352 is an abundant number, since it is smaller than the sum of its proper divisors (1107821988).

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

462905352 is a wasteful number, since it uses less digits than its factorization.

462905352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 462905352 is about 21515.2353461448. The cubic root of 462905352 is about 773.5660488360.

The spelling of 462905352 in words is "four hundred sixty-two million, nine hundred five thousand, three hundred fifty-two".