438269040 has 120 divisors (see below), whose sum is σ = 1605687408. Its totient is φ = 106245120.

The previous prime is 438269009. The next prime is 438269063. The reversal of 438269040 is 40962834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 438268986 and 438269004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19749 + ... + 35588.

Almost surely, 2^438269040 is an apocalyptic number.

438269040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438269040 is an abundant number, since it is smaller than the sum of its proper divisors (1167418368).

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

438269040 is a wasteful number, since it uses less digits than its factorization.

438269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55367 (or 55358 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 438269040 is about 20934.8761639519. The cubic root of 438269040 is about 759.5917937132.

The spelling of 438269040 in words is "four hundred thirty-eight million, two hundred sixty-nine thousand, forty".