29460540 has 96 divisors (see below), whose sum is σ = 87220224. Its totient is φ = 7418880.

The previous prime is 29460533. The next prime is 29460551. The reversal of 29460540 is 4506492.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29460498 and 29460507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87252 + ... + 87588.

It is an arithmetic number, because the mean of its divisors is an integer number (908544).

Almost surely, 2^29460540 is an apocalyptic number.

29460540 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 29460540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43610112).

29460540 is an abundant number, since it is smaller than the sum of its proper divisors (57759684).

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

29460540 is a wasteful number, since it uses less digits than its factorization.

29460540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 29460540 is about 5427.7564425829. The cubic root of 29460540 is about 308.8494988752.

The spelling of 29460540 in words is "twenty-nine million, four hundred sixty thousand, five hundred forty".