1434372480 has 384 divisors, whose sum is σ = 5308243200. Its totient is φ = 356106240.

The previous prime is 1434372469. The next prime is 1434372487. The reversal of 1434372480 is 842734341.

1434372480 is a `hidden beast` number, since 143 + 4 + 37 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1434372480³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1434372487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5178102 + ... + 5178378.

It is an arithmetic number, because the mean of its divisors is an integer number (13823550).

Almost surely, 2^1434372480 is an apocalyptic number.

1434372480 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 1434372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654121600).

1434372480 is an abundant number, since it is smaller than the sum of its proper divisors (3873870720).

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

1434372480 is a wasteful number, since it uses less digits than its factorization.

1434372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1434372480 is about 37873.1102498857. The cubic root of 1434372480 is about 1127.7702867071.

The spelling of 1434372480 in words is "one billion, four hundred thirty-four million, three hundred seventy-two thousand, four hundred eighty".