464150439648 has 288 divisors, whose sum is σ = 1575872716320. Its totient is φ = 132523776000.

The previous prime is 464150439587. The next prime is 464150439679. The reversal of 464150439648 is 846934051464.

464150439648 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 504 + 3 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 464150439594 and 464150439603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84372898 + ... + 84378398.

It is an arithmetic number, because the mean of its divisors is an integer number (5471780265).

Almost surely, 2^464150439648 is an apocalyptic number.

464150439648 is a gapful number since it is divisible by the number (48) 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 464150439648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787936358160).

464150439648 is an abundant number, since it is smaller than the sum of its proper divisors (1111722276672).

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

464150439648 is a wasteful number, since it uses less digits than its factorization.

464150439648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 464150439648 in words is "four hundred sixty-four billion, one hundred fifty million, four hundred thirty-nine thousand, six hundred forty-eight".