29540480 has 64 divisors (see below), whose sum is σ = 71475480. Its totient is φ = 11673600.

The previous prime is 29540479. The next prime is 29540491. The reversal of 29540480 is 8404592.

It can be written as a sum of positive squares in 4 ways, for example, as 29506624 + 33856 = 5432^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64412 + ... + 64868.

Almost surely, 2^29540480 is an apocalyptic number.

29540480 is a gapful number since it is divisible by the number (20) 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 29540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35737740).

29540480 is an abundant number, since it is smaller than the sum of its proper divisors (41935000).

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

29540480 is a wasteful number, since it uses less digits than its factorization.

29540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 29540480 is about 5435.1154541555. The cubic root of 29540480 is about 309.1285968515.

The spelling of 29540480 in words is "twenty-nine million, five hundred forty thousand, four hundred eighty".