407542428 has 120 divisors (see below), whose sum is σ = 1177479072. Its totient is φ = 122259456.

The previous prime is 407542427. The next prime is 407542453. The reversal of 407542428 is 824245704.

407542428 is a `hidden beast` number, since 407 + 5 + 4 + 242 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 407542392 and 407542401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407542427) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 125076 + ... + 128292.

Almost surely, 2^407542428 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 407542428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588739536).

407542428 is an abundant number, since it is smaller than the sum of its proper divisors (769936644).

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

407542428 is a wasteful number, since it uses less digits than its factorization.

407542428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 407542428 is about 20187.6801044597. The cubic root of 407542428 is about 741.4085832046.

The spelling of 407542428 in words is "four hundred seven million, five hundred forty-two thousand, four hundred twenty-eight".