464103640 has 256 divisors, whose sum is σ = 1431198720. Its totient is φ = 130775040.

The previous prime is 464103623. The next prime is 464103643. The reversal of 464103640 is 46301464.

It is a happy number.

It is a super-2 number, since 2×464103640² = 430784377322499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 464103599 and 464103608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464103643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2682594 + ... + 2682766.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^464103640 is an apocalyptic number.

464103640 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 464103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715599360).

464103640 is an abundant number, since it is smaller than the sum of its proper divisors (967095080).

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

464103640 is a wasteful number, since it uses less digits than its factorization.

464103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 464103640 is about 21543.0647773245. The cubic root of 464103640 is about 774.2329643022.

The spelling of 464103640 in words is "four hundred sixty-four million, one hundred three thousand, six hundred forty".