1957652420 has 48 divisors (see below), whose sum is σ = 4218380208. Its totient is φ = 762685440.

The previous prime is 1957652407. The next prime is 1957652483. The reversal of 1957652420 is 242567591.

It can be written as a sum of positive squares in 8 ways, for example, as 52504516 + 1905147904 = 7246^2 + 43648^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599432 + ... + 602688.

It is an arithmetic number, because the mean of its divisors is an integer number (87882921).

Almost surely, 2^1957652420 is an apocalyptic number.

1957652420 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 1957652420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109190104).

1957652420 is an abundant number, since it is smaller than the sum of its proper divisors (2260727788).

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

1957652420 is a wasteful number, since it uses less digits than its factorization.

1957652420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 1957652420 is about 44245.3660850490. The cubic root of 1957652420 is about 1250.9651042672.

The spelling of 1957652420 in words is "one billion, nine hundred fifty-seven million, six hundred fifty-two thousand, four hundred twenty".