1434949824 has 336 divisors, whose sum is σ = 4939515648. Its totient is φ = 357120000.

The previous prime is 1434949819. The next prime is 1434949843. The reversal of 1434949824 is 4289494341.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14207374 + ... + 14207474.

Almost surely, 2^1434949824 is an apocalyptic number.

1434949824 is a gapful number since it is divisible by the number (14) 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 1434949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469757824).

1434949824 is an abundant number, since it is smaller than the sum of its proper divisors (3504565824).

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

1434949824 is a wasteful number, since it uses less digits than its factorization.

1434949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 1434949824 is about 37880.7315663254. The cubic root of 1434949824 is about 1127.9215779693.

The spelling of 1434949824 in words is "one billion, four hundred thirty-four million, nine hundred forty-nine thousand, eight hundred twenty-four".