424249632 has 288 divisors, whose sum is σ = 1364912640. Its totient is φ = 124416000.

The previous prime is 424249621. The next prime is 424249649. The reversal of 424249632 is 236942424.

424249632 = T₂₀₈ + T₂₀₉ + ... + T₁₃₆₆.

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 (36).

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

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, 6954882 + ... + 6954942.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^424249632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

424249632 is an abundant number, since it is smaller than the sum of its proper divisors (940663008).

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

424249632 is a wasteful number, since it uses less digits than its factorization.

424249632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 424249632 is about 20597.3209908473. The cubic root of 424249632 is about 751.4045573163.

The spelling of 424249632 in words is "four hundred twenty-four million, two hundred forty-nine thousand, six hundred thirty-two".