429780540 has 96 divisors (see below), whose sum is σ = 1392814080. Its totient is φ = 96984576.

The previous prime is 429780539. The next prime is 429780607. The reversal of 429780540 is 45087924.

It is a super-2 number, since 2×429780540² = 369422625125383200, which contains 22 as substring.

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, 26704 + ... + 39656.

It is an arithmetic number, because the mean of its divisors is an integer number (14508480).

Almost surely, 2^429780540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429780540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696407040).

429780540 is an abundant number, since it is smaller than the sum of its proper divisors (963033540).

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

429780540 is a wasteful number, since it uses less digits than its factorization.

429780540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13051 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 429780540 is about 20731.1490274900. The cubic root of 429780540 is about 754.6558026415.

The spelling of 429780540 in words is "four hundred twenty-nine million, seven hundred eighty thousand, five hundred forty".