464235287040 has 1920 divisors, whose sum is σ = 2081946746880. Its totient is φ = 96745881600.

The previous prime is 464235287017. The next prime is 464235287119. The reversal of 464235287040 is 40782532464.

It is a happy number.

464235287040 is a `hidden beast` number, since 4 + 64 + 23 + 528 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×464235287040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2564835750 + ... + 2564835930.

It is an arithmetic number, because the mean of its divisors is an integer number (1084347264).

Almost surely, 2^464235287040 is an apocalyptic number.

464235287040 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 464235287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040973373440).

464235287040 is an abundant number, since it is smaller than the sum of its proper divisors (1617711459840).

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

464235287040 is a wasteful number, since it uses less digits than its factorization.

464235287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 464235287040 in words is "four hundred sixty-four billion, two hundred thirty-five million, two hundred eighty-seven thousand, forty".