464149224 has 384 divisors, whose sum is σ = 1685376000. Its totient is φ = 115758720.

The previous prime is 464149207. The next prime is 464149229. The reversal of 464149224 is 422941464.

It is a happy number.

464149224 is a `hidden beast` number, since 4 + 641 + 4 + 9 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (464149229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7866907 + ... + 7866965.

It is an arithmetic number, because the mean of its divisors is an integer number (4389000).

Almost surely, 2^464149224 is an apocalyptic number.

464149224 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 464149224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842688000).

464149224 is an abundant number, since it is smaller than the sum of its proper divisors (1221226776).

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

464149224 is a wasteful number, since it uses less digits than its factorization.

464149224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 464149224 is about 21544.1227252353. The cubic root of 464149224 is about 774.2583117153.

The spelling of 464149224 in words is "four hundred sixty-four million, one hundred forty-nine thousand, two hundred twenty-four".