1457676440 has 64 divisors (see below), whose sum is σ = 3613468320. Its totient is φ = 524800000.

The previous prime is 1457676419. The next prime is 1457676449. The reversal of 1457676440 is 446767541.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1457676391 and 1457676400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457676449) 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 15 ways as a sum of consecutive naturals, for example, 28040 + ... + 60840.

Almost surely, 2^1457676440 is an apocalyptic number.

1457676440 is a gapful number since it is divisible by the number (10) 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 1457676440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806734160).

1457676440 is an abundant number, since it is smaller than the sum of its proper divisors (2155791880).

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

1457676440 is a wasteful number, since it uses less digits than its factorization.

1457676440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32924 (or 32920 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 1457676440 is about 38179.5290699087. The cubic root of 1457676440 is about 1133.8450580299.

The spelling of 1457676440 in words is "one billion, four hundred fifty-seven million, six hundred seventy-six thousand, four hundred forty".