457620428694 has 192 divisors, whose sum is σ = 1132143667200. Its totient is φ = 122262117120.

The previous prime is 457620428689. The next prime is 457620428719. The reversal of 457620428694 is 496824026754.

It is a super-4 number, since 4×457620428694⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225538872 + ... + 225540900.

It is an arithmetic number, because the mean of its divisors is an integer number (5896581600).

Almost surely, 2^457620428694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457620428694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566071833600).

457620428694 is an abundant number, since it is smaller than the sum of its proper divisors (674523238506).

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

457620428694 is a wasteful number, since it uses less digits than its factorization.

457620428694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 457620428694 in words is "four hundred fifty-seven billion, six hundred twenty million, four hundred twenty-eight thousand, six hundred ninety-four".