46510464 has 256 divisors, whose sum is σ = 167247360. Its totient is φ = 11151360.

The previous prime is 46510463. The next prime is 46510469. The reversal of 46510464 is 46401564.

It is a super-2 number, since 2×46510464² = 4326446522990592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46510463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3577722 + ... + 3577734.

It is an arithmetic number, because the mean of its divisors is an integer number (653310).

Almost surely, 2^46510464 is an apocalyptic number.

46510464 is a gapful number since it is divisible by the number (44) 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 46510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83623680).

46510464 is an abundant number, since it is smaller than the sum of its proper divisors (120736896).

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

46510464 is a wasteful number, since it uses less digits than its factorization.

46510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 46510464 is about 6819.8580630391. The cubic root of 46510464 is about 359.6252891248.

Subtracting from 46510464 its reverse (46401564), we obtain a square (108900 = 330²).

The spelling of 46510464 in words is "forty-six million, five hundred ten thousand, four hundred sixty-four".