147793464 has 256 divisors, whose sum is σ = 517171200. Its totient is φ = 38071296.

The previous prime is 147793453. The next prime is 147793501. The reversal of 147793464 is 464397741.

It is a super-2 number, since 2×147793464² = 43685816002238592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1434837 + ... + 1434939.

It is an arithmetic number, because the mean of its divisors is an integer number (2020200).

Almost surely, 2^147793464 is an apocalyptic number.

147793464 is a gapful number since it is divisible by the number (14) 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 147793464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258585600).

147793464 is an abundant number, since it is smaller than the sum of its proper divisors (369377736).

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

147793464 is a wasteful number, since it uses less digits than its factorization.

147793464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 147793464 is about 12157.0335197366. The cubic root of 147793464 is about 528.7110770604.

The spelling of 147793464 in words is "one hundred forty-seven million, seven hundred ninety-three thousand, four hundred sixty-four".