464503032 has 384 divisors, whose sum is σ = 1667865600. Its totient is φ = 117013248.

The previous prime is 464503003. The next prime is 464503037. The reversal of 464503032 is 230305464.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 464502987 and 464503005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464503037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12554118 + ... + 12554154.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^464503032 is an apocalyptic number.

464503032 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 464503032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).

464503032 is an abundant number, since it is smaller than the sum of its proper divisors (1203362568).

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

464503032 is a wasteful number, since it uses less digits than its factorization.

464503032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 464503032 is about 21552.3324027818. The cubic root of 464503032 is about 774.4549935831.

Adding to 464503032 its reverse (230305464), we get a palindrome (694808496).

The spelling of 464503032 in words is "four hundred sixty-four million, five hundred three thousand, thirty-two".