457106531840 has 320 divisors, whose sum is σ = 1328399512704. Its totient is φ = 147262537728.

The previous prime is 457106531821. The next prime is 457106531927. The reversal of 457106531840 is 48135601754.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 457106531791 and 457106531800.

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, 369527702 + ... + 369528938.

Almost surely, 2^457106531840 is an apocalyptic number.

457106531840 is a gapful number since it is divisible by the number (40) 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 457106531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664199756352).

457106531840 is an abundant number, since it is smaller than the sum of its proper divisors (871292980864).

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

457106531840 is a wasteful number, since it uses less digits than its factorization.

457106531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 457106531840 in words is "four hundred fifty-seven billion, one hundred six million, five hundred thirty-one thousand, eight hundred forty".