465124040 has 64 divisors (see below), whose sum is σ = 1111978800. Its totient is φ = 174763008.

The previous prime is 465124027. The next prime is 465124073. The reversal of 465124040 is 40421564.

It can be written as a sum of positive squares in 8 ways, for example, as 240064036 + 225060004 = 15494^2 + 15002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37502 + ... + 48338.

Almost surely, 2^465124040 is an apocalyptic number.

465124040 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 465124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555989400).

465124040 is an abundant number, since it is smaller than the sum of its proper divisors (646854760).

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

465124040 is a wasteful number, since it uses less digits than its factorization.

465124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 465124040 is about 21566.7345697025. The cubic root of 465124040 is about 774.7999705754.

It can be divided in two parts, 4651240 and 40, that multiplied together give a square (186049600 = 13640²).

The spelling of 465124040 in words is "four hundred sixty-five million, one hundred twenty-four thousand, forty".