1234284480 has 784 divisors, whose sum is σ = 5317016544. Its totient is φ = 268738560.

The previous prime is 1234284463. The next prime is 1234284481. The reversal of 1234284480 is 844824321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234284481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33359022 + ... + 33359058.

Almost surely, 2^1234284480 is an apocalyptic number.

1234284480 is a gapful number since it is divisible by the number (10) 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 1234284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658508272).

1234284480 is an abundant number, since it is smaller than the sum of its proper divisors (4082732064).

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

1234284480 is a wasteful number, since it uses less digits than its factorization.

1234284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1234284480 is about 35132.3850599415. The cubic root of 1234284480 is about 1072.6838845543.

The spelling of 1234284480 in words is "one billion, two hundred thirty-four million, two hundred eighty-four thousand, four hundred eighty".