1455413400 has 384 divisors, whose sum is σ = 5791296000. Its totient is φ = 329080320.

The previous prime is 1455413387. The next prime is 1455413413. The reversal of 1455413400 is 43145541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1455413387) and next prime (1455413413).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5254062 + ... + 5254338.

It is an arithmetic number, because the mean of its divisors is an integer number (15081500).

Almost surely, 2^1455413400 is an apocalyptic number.

1455413400 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 1455413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895648000).

1455413400 is an abundant number, since it is smaller than the sum of its proper divisors (4335882600).

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

1455413400 is a wasteful number, since it uses less digits than its factorization.

1455413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1455413400 is about 38149.8807337585. The cubic root of 1455413400 is about 1133.2579899933.

Adding to 1455413400 its reverse (43145541), we get a palindrome (1498558941).

The spelling of 1455413400 in words is "one billion, four hundred fifty-five million, four hundred thirteen thousand, four hundred".