46224000 has 256 divisors, whose sum is σ = 171849600. Its totient is φ = 12211200.

The previous prime is 46223993. The next prime is 46224023. The reversal of 46224000 is 42264.

46224000 is a `hidden beast` number, since 4 + 622 + 40 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431947 + ... + 432053.

Almost surely, 2^46224000 is an apocalyptic number.

46224000 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 46224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

46224000 is an abundant number, since it is smaller than the sum of its proper divisors (125625600).

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

46224000 is a wasteful number, since it uses less digits than its factorization.

46224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 46224000 is about 6798.8234276233. The cubic root of 46224000 is about 358.8854417833.

Adding to 46224000 its reverse (42264), we get a palindrome (46266264).

The spelling of 46224000 in words is "forty-six million, two hundred twenty-four thousand".