507451428 has 144 divisors (see below), whose sum is σ = 1516971456. Its totient is φ = 141281280.

The previous prime is 507451409. The next prime is 507451453. The reversal of 507451428 is 824154705.

507451428 is a `hidden beast` number, since 50 + 74 + 514 + 28 = 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 = 507451392 and 507451401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288600 + ... + 290352.

It is an arithmetic number, because the mean of its divisors is an integer number (10534524).

Almost surely, 2^507451428 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 507451428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758485728).

507451428 is an abundant number, since it is smaller than the sum of its proper divisors (1009520028).

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

507451428 is a wasteful number, since it uses less digits than its factorization.

507451428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 507451428 is about 22526.6825786666. The cubic root of 507451428 is about 797.6239017668.

The spelling of 507451428 in words is "five hundred seven million, four hundred fifty-one thousand, four hundred twenty-eight".