249622464 has 252 divisors, whose sum is σ = 837233784. Its totient is φ = 65415168.

The previous prime is 249622463. The next prime is 249622487. The reversal of 249622464 is 464226942.

It is a super-2 number, since 2×249622464² = 124622749066862592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

249622464 is a modest number, since divided by 22464 gives 2496 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249622463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589874 + ... + 1590030.

Almost surely, 2^249622464 is an apocalyptic number.

249622464 is a gapful number since it is divisible by the number (24) 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 249622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418616892).

249622464 is an abundant number, since it is smaller than the sum of its proper divisors (587611320).

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

249622464 is a wasteful number, since it uses less digits than its factorization.

249622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 249622464 is about 15799.4450535454. The cubic root of 249622464 is about 629.6432548169.

It can be divided in two parts, 2496 and 22464, that multiplied together give a square (56070144 = 7488²).

The spelling of 249622464 in words is "two hundred forty-nine million, six hundred twenty-two thousand, four hundred sixty-four".