424764000 has 576 divisors, whose sum is σ = 1717148160. Its totient is φ = 102643200.

The previous prime is 424763939. The next prime is 424764007. The reversal of 424764000 is 467424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424764007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18467989 + ... + 18468011.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^424764000 is an apocalyptic number.

424764000 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 424764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

424764000 is an abundant number, since it is smaller than the sum of its proper divisors (1292384160).

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

424764000 is a wasteful number, since it uses less digits than its factorization.

424764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 424764000 is about 20609.8034925130. The cubic root of 424764000 is about 751.7081068746.

The spelling of 424764000 in words is "four hundred twenty-four million, seven hundred sixty-four thousand".