437994480 has 320 divisors, whose sum is σ = 1715033088. Its totient is φ = 89825280.

The previous prime is 437994467. The next prime is 437994503. The reversal of 437994480 is 84499734.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2531674 + ... + 2531846.

Almost surely, 2^437994480 is an apocalyptic number.

437994480 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 437994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857516544).

437994480 is an abundant number, since it is smaller than the sum of its proper divisors (1277038608).

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

437994480 is a wasteful number, since it uses less digits than its factorization.

437994480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 437994480 is about 20928.3176581397. The cubic root of 437994480 is about 759.4331414779.

The spelling of 437994480 in words is "four hundred thirty-seven million, nine hundred ninety-four thousand, four hundred eighty".